Finding the Third Proportional to 412,632 and 556,736

Step by Step Solution

1. Step 1: Write the proportion equation
   412,632 : 556,736 = 556,736 : x
2. Step 2: Convert to fraction form
   412,632/556,736 = 556,736/x
3. Step 3: Cross multiply
   412,632x = 556,736 × 556,736
4. Step 4: Simplify right side
   412,632x = 309,954,973,696
5. Step 5: Solve for x
   x = 309,954,973,696/412,632
6. Step 6: Final answer
   x = 751,165.62