Finding the Third Proportional to 82,058,812,101 and 122,605,166,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,058,812,101 : 122,605,166,227.50 = 122,605,166,227.50 : x
2. Step 2: Convert to fraction form
   82,058,812,101/122,605,166,227.50 = 122,605,166,227.50/x
3. Step 3: Cross multiply
   82,058,812,101x = 122,605,166,227.50 × 122,605,166,227.50
4. Step 4: Simplify right side
   82,058,812,101x = 15,032,026,785,672,905,883,648
5. Step 5: Solve for x
   x = 15,032,026,785,672,905,883,648/82,058,812,101
6. Step 6: Final answer
   x = 183,186,015,015.32