Finding the Third Proportional to 267,782 and 414,898.50

Step by Step Solution

1. Step 1: Write the proportion equation
   267,782 : 414,898.50 = 414,898.50 : x
2. Step 2: Convert to fraction form
   267,782/414,898.50 = 414,898.50/x
3. Step 3: Cross multiply
   267,782x = 414,898.50 × 414,898.50
4. Step 4: Simplify right side
   267,782x = 172,140,765,302.25
5. Step 5: Solve for x
   x = 172,140,765,302.25/267,782
6. Step 6: Final answer
   x = 642,839.19