Finding the Third Proportional to 532,968 and 820,036.50

Step by Step Solution

1. Step 1: Write the proportion equation
   532,968 : 820,036.50 = 820,036.50 : x
2. Step 2: Convert to fraction form
   532,968/820,036.50 = 820,036.50/x
3. Step 3: Cross multiply
   532,968x = 820,036.50 × 820,036.50
4. Step 4: Simplify right side
   532,968x = 672,459,861,332.25
5. Step 5: Solve for x
   x = 672,459,861,332.25/532,968
6. Step 6: Final answer
   x = 1,261,726.52