Finding the Third Proportional to 516,946.50 and 772,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   516,946.50 : 772,321.50 = 772,321.50 : x
2. Step 2: Convert to fraction form
   516,946.50/772,321.50 = 772,321.50/x
3. Step 3: Cross multiply
   516,946.50x = 772,321.50 × 772,321.50
4. Step 4: Simplify right side
   516,946.50x = 596,480,499,362.25
5. Step 5: Solve for x
   x = 596,480,499,362.25/516,946.50
6. Step 6: Final answer
   x = 1,153,853.44