Finding the Third Proportional to 766,442.25 and 1,582,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   766,442.25 : 1,582,084.50 = 1,582,084.50 : x
2. Step 2: Convert to fraction form
   766,442.25/1,582,084.50 = 1,582,084.50/x
3. Step 3: Cross multiply
   766,442.25x = 1,582,084.50 × 1,582,084.50
4. Step 4: Simplify right side
   766,442.25x = 2,502,991,365,140.25
5. Step 5: Solve for x
   x = 2,502,991,365,140.25/766,442.25
6. Step 6: Final answer
   x = 3,265,727.28