Finding the Third Proportional to 264,766.50 and 404,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   264,766.50 : 404,077.50 = 404,077.50 : x
2. Step 2: Convert to fraction form
   264,766.50/404,077.50 = 404,077.50/x
3. Step 3: Cross multiply
   264,766.50x = 404,077.50 × 404,077.50
4. Step 4: Simplify right side
   264,766.50x = 163,278,626,006.25
5. Step 5: Solve for x
   x = 163,278,626,006.25/264,766.50
6. Step 6: Final answer
   x = 616,689.14