Finding the Third Proportional to 55,384 and 83,058.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,384 : 83,058.50 = 83,058.50 : x
2. Step 2: Convert to fraction form
   55,384/83,058.50 = 83,058.50/x
3. Step 3: Cross multiply
   55,384x = 83,058.50 × 83,058.50
4. Step 4: Simplify right side
   55,384x = 6,898,714,422.25
5. Step 5: Solve for x
   x = 6,898,714,422.25/55,384
6. Step 6: Final answer
   x = 124,561.51