Finding the Third Proportional to 76,711.50 and 158,748.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,711.50 : 158,748.50 = 158,748.50 : x
2. Step 2: Convert to fraction form
   76,711.50/158,748.50 = 158,748.50/x
3. Step 3: Cross multiply
   76,711.50x = 158,748.50 × 158,748.50
4. Step 4: Simplify right side
   76,711.50x = 25,201,086,252.25
5. Step 5: Solve for x
   x = 25,201,086,252.25/76,711.50
6. Step 6: Final answer
   x = 328,517.71