Finding the Third Proportional to 402,267 and 596,438.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,267 : 596,438.50 = 596,438.50 : x
2. Step 2: Convert to fraction form
   402,267/596,438.50 = 596,438.50/x
3. Step 3: Cross multiply
   402,267x = 596,438.50 × 596,438.50
4. Step 4: Simplify right side
   402,267x = 355,738,884,282.25
5. Step 5: Solve for x
   x = 355,738,884,282.25/402,267
6. Step 6: Final answer
   x = 884,335.24