Finding the Third Proportional to 359,719.50 and 527,914.50

Step by Step Solution

1. Step 1: Write the proportion equation
   359,719.50 : 527,914.50 = 527,914.50 : x
2. Step 2: Convert to fraction form
   359,719.50/527,914.50 = 527,914.50/x
3. Step 3: Cross multiply
   359,719.50x = 527,914.50 × 527,914.50
4. Step 4: Simplify right side
   359,719.50x = 278,693,719,310.25
5. Step 5: Solve for x
   x = 278,693,719,310.25/359,719.50
6. Step 6: Final answer
   x = 774,752.88