Finding the Third Proportional to 402,284 and 596,463.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,284 : 596,463.50 = 596,463.50 : x
2. Step 2: Convert to fraction form
   402,284/596,463.50 = 596,463.50/x
3. Step 3: Cross multiply
   402,284x = 596,463.50 × 596,463.50
4. Step 4: Simplify right side
   402,284x = 355,768,706,832.25
5. Step 5: Solve for x
   x = 355,768,706,832.25/402,284
6. Step 6: Final answer
   x = 884,372.00