Finding the Third Proportional to 47,384 and 102,058

Step by Step Solution

1. Step 1: Write the proportion equation
   47,384 : 102,058 = 102,058 : x
2. Step 2: Convert to fraction form
   47,384/102,058 = 102,058/x
3. Step 3: Cross multiply
   47,384x = 102,058 × 102,058
4. Step 4: Simplify right side
   47,384x = 10,415,835,364
5. Step 5: Solve for x
   x = 10,415,835,364/47,384
6. Step 6: Final answer
   x = 219,817.56