Finding the Third Proportional to 404,152.50 and 561,941.50

Step by Step Solution

1. Step 1: Write the proportion equation
   404,152.50 : 561,941.50 = 561,941.50 : x
2. Step 2: Convert to fraction form
   404,152.50/561,941.50 = 561,941.50/x
3. Step 3: Cross multiply
   404,152.50x = 561,941.50 × 561,941.50
4. Step 4: Simplify right side
   404,152.50x = 315,778,249,422.25
5. Step 5: Solve for x
   x = 315,778,249,422.25/404,152.50
6. Step 6: Final answer
   x = 781,334.40