Finding the Third Proportional to 402,293 and 596,475.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,293 : 596,475.50 = 596,475.50 : x
2. Step 2: Convert to fraction form
   402,293/596,475.50 = 596,475.50/x
3. Step 3: Cross multiply
   402,293x = 596,475.50 × 596,475.50
4. Step 4: Simplify right side
   402,293x = 355,783,022,100.25
5. Step 5: Solve for x
   x = 355,783,022,100.25/402,293
6. Step 6: Final answer
   x = 884,387.80