Finding the Third Proportional to 296,692.50 and 471,708

Step by Step Solution

1. Step 1: Write the proportion equation
   296,692.50 : 471,708 = 471,708 : x
2. Step 2: Convert to fraction form
   296,692.50/471,708 = 471,708/x
3. Step 3: Cross multiply
   296,692.50x = 471,708 × 471,708
4. Step 4: Simplify right side
   296,692.50x = 222,508,437,264
5. Step 5: Solve for x
   x = 222,508,437,264/296,692.50
6. Step 6: Final answer
   x = 749,963.13