Finding the Third Proportional to 814,978.13 and 1,781,406

Step by Step Solution

1. Step 1: Write the proportion equation
   814,978.13 : 1,781,406 = 1,781,406 : x
2. Step 2: Convert to fraction form
   814,978.13/1,781,406 = 1,781,406/x
3. Step 3: Cross multiply
   814,978.13x = 1,781,406 × 1,781,406
4. Step 4: Simplify right side
   814,978.13x = 3,173,407,336,836
5. Step 5: Solve for x
   x = 3,173,407,336,836/814,978.13
6. Step 6: Final answer
   x = 3,893,855.85