Finding the Third Proportional to 614,320 and 916,741

Step by Step Solution

1. Step 1: Write the proportion equation
   614,320 : 916,741 = 916,741 : x
2. Step 2: Convert to fraction form
   614,320/916,741 = 916,741/x
3. Step 3: Cross multiply
   614,320x = 916,741 × 916,741
4. Step 4: Simplify right side
   614,320x = 840,414,061,081
5. Step 5: Solve for x
   x = 840,414,061,081/614,320
6. Step 6: Final answer
   x = 1,368,039.56