Finding the Third Proportional to 497,113 and 777,659.50

Step by Step Solution

1. Step 1: Write the proportion equation
   497,113 : 777,659.50 = 777,659.50 : x
2. Step 2: Convert to fraction form
   497,113/777,659.50 = 777,659.50/x
3. Step 3: Cross multiply
   497,113x = 777,659.50 × 777,659.50
4. Step 4: Simplify right side
   497,113x = 604,754,297,940.25
5. Step 5: Solve for x
   x = 604,754,297,940.25/497,113
6. Step 6: Final answer
   x = 1,216,532.86