Finding the Third Proportional to 402,259 and 596,427.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,259 : 596,427.50 = 596,427.50 : x
2. Step 2: Convert to fraction form
   402,259/596,427.50 = 596,427.50/x
3. Step 3: Cross multiply
   402,259x = 596,427.50 × 596,427.50
4. Step 4: Simplify right side
   402,259x = 355,725,762,756.25
5. Step 5: Solve for x
   x = 355,725,762,756.25/402,259
6. Step 6: Final answer
   x = 884,320.21