Finding the Third Proportional to 71,464 and 152,175.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,464 : 152,175.50 = 152,175.50 : x
2. Step 2: Convert to fraction form
   71,464/152,175.50 = 152,175.50/x
3. Step 3: Cross multiply
   71,464x = 152,175.50 × 152,175.50
4. Step 4: Simplify right side
   71,464x = 23,157,382,800.25
5. Step 5: Solve for x
   x = 23,157,382,800.25/71,464
6. Step 6: Final answer
   x = 324,042.63