Finding the Third Proportional to 71,624 and 151,785.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,624 : 151,785.50 = 151,785.50 : x
2. Step 2: Convert to fraction form
   71,624/151,785.50 = 151,785.50/x
3. Step 3: Cross multiply
   71,624x = 151,785.50 × 151,785.50
4. Step 4: Simplify right side
   71,624x = 23,038,838,010.25
5. Step 5: Solve for x
   x = 23,038,838,010.25/71,624
6. Step 6: Final answer
   x = 321,663.66