Finding the Third Proportional to 71,109.50 and 152,338.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,109.50 : 152,338.50 = 152,338.50 : x
2. Step 2: Convert to fraction form
   71,109.50/152,338.50 = 152,338.50/x
3. Step 3: Cross multiply
   71,109.50x = 152,338.50 × 152,338.50
4. Step 4: Simplify right side
   71,109.50x = 23,207,018,582.25
5. Step 5: Solve for x
   x = 23,207,018,582.25/71,109.50
6. Step 6: Final answer
   x = 326,356.09