Finding the Third Proportional to 492,196 and 724,470

Step by Step Solution

1. Step 1: Write the proportion equation
   492,196 : 724,470 = 724,470 : x
2. Step 2: Convert to fraction form
   492,196/724,470 = 724,470/x
3. Step 3: Cross multiply
   492,196x = 724,470 × 724,470
4. Step 4: Simplify right side
   492,196x = 524,856,780,900
5. Step 5: Solve for x
   x = 524,856,780,900/492,196
6. Step 6: Final answer
   x = 1,066,357.27