Finding the Third Proportional to 369,123 and 527,842.50

Step by Step Solution

1. Step 1: Write the proportion equation
   369,123 : 527,842.50 = 527,842.50 : x
2. Step 2: Convert to fraction form
   369,123/527,842.50 = 527,842.50/x
3. Step 3: Cross multiply
   369,123x = 527,842.50 × 527,842.50
4. Step 4: Simplify right side
   369,123x = 278,617,704,806.25
5. Step 5: Solve for x
   x = 278,617,704,806.25/369,123
6. Step 6: Final answer
   x = 754,809.93