Finding the Third Proportional to 496,116 and 788,472

Step by Step Solution

1. Step 1: Write the proportion equation
   496,116 : 788,472 = 788,472 : x
2. Step 2: Convert to fraction form
   496,116/788,472 = 788,472/x
3. Step 3: Cross multiply
   496,116x = 788,472 × 788,472
4. Step 4: Simplify right side
   496,116x = 621,688,094,784
5. Step 5: Solve for x
   x = 621,688,094,784/496,116
6. Step 6: Final answer
   x = 1,253,110.35