Finding the Third Proportional to 413,818.88 and 556,105.50

Step by Step Solution

1. Step 1: Write the proportion equation
   413,818.88 : 556,105.50 = 556,105.50 : x
2. Step 2: Convert to fraction form
   413,818.88/556,105.50 = 556,105.50/x
3. Step 3: Cross multiply
   413,818.88x = 556,105.50 × 556,105.50
4. Step 4: Simplify right side
   413,818.88x = 309,253,327,130.25
5. Step 5: Solve for x
   x = 309,253,327,130.25/413,818.88
6. Step 6: Final answer
   x = 747,315.66