Finding the Third Proportional to 413,275.50 and 556,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   413,275.50 : 556,078.50 = 556,078.50 : x
2. Step 2: Convert to fraction form
   413,275.50/556,078.50 = 556,078.50/x
3. Step 3: Cross multiply
   413,275.50x = 556,078.50 × 556,078.50
4. Step 4: Simplify right side
   413,275.50x = 309,223,298,162.25
5. Step 5: Solve for x
   x = 309,223,298,162.25/413,275.50
6. Step 6: Final answer
   x = 748,225.57