Finding the Third Proportional to 267,784.50 and 414,901.50

Step by Step Solution

1. Step 1: Write the proportion equation
   267,784.50 : 414,901.50 = 414,901.50 : x
2. Step 2: Convert to fraction form
   267,784.50/414,901.50 = 414,901.50/x
3. Step 3: Cross multiply
   267,784.50x = 414,901.50 × 414,901.50
4. Step 4: Simplify right side
   267,784.50x = 172,143,254,702.25
5. Step 5: Solve for x
   x = 172,143,254,702.25/267,784.50
6. Step 6: Final answer
   x = 642,842.49