Finding the Third Proportional to 810,414 and 1,746,517.50

Step by Step Solution

1. Step 1: Write the proportion equation
   810,414 : 1,746,517.50 = 1,746,517.50 : x
2. Step 2: Convert to fraction form
   810,414/1,746,517.50 = 1,746,517.50/x
3. Step 3: Cross multiply
   810,414x = 1,746,517.50 × 1,746,517.50
4. Step 4: Simplify right side
   810,414x = 3,050,323,377,806.25
5. Step 5: Solve for x
   x = 3,050,323,377,806.25/810,414
6. Step 6: Final answer
   x = 3,763,907.56