Finding the Third Proportional to 413,844 and 556,140

Step by Step Solution

1. Step 1: Write the proportion equation
   413,844 : 556,140 = 556,140 : x
2. Step 2: Convert to fraction form
   413,844/556,140 = 556,140/x
3. Step 3: Cross multiply
   413,844x = 556,140 × 556,140
4. Step 4: Simplify right side
   413,844x = 309,291,699,600
5. Step 5: Solve for x
   x = 309,291,699,600/413,844
6. Step 6: Final answer
   x = 747,363.02