Finding the Third Proportional to 71,384 and 148,432

Step by Step Solution

1. Step 1: Write the proportion equation
   71,384 : 148,432 = 148,432 : x
2. Step 2: Convert to fraction form
   71,384/148,432 = 148,432/x
3. Step 3: Cross multiply
   71,384x = 148,432 × 148,432
4. Step 4: Simplify right side
   71,384x = 22,032,058,624
5. Step 5: Solve for x
   x = 22,032,058,624/71,384
6. Step 6: Final answer
   x = 308,641.41