Finding the Third Proportional to 495,146 and 747,456

Step by Step Solution

1. Step 1: Write the proportion equation
   495,146 : 747,456 = 747,456 : x
2. Step 2: Convert to fraction form
   495,146/747,456 = 747,456/x
3. Step 3: Cross multiply
   495,146x = 747,456 × 747,456
4. Step 4: Simplify right side
   495,146x = 558,690,471,936
5. Step 5: Solve for x
   x = 558,690,471,936/495,146
6. Step 6: Final answer
   x = 1,128,334.82