Finding the Third Proportional to 782,541 and 1,649,139

Step by Step Solution

1. Step 1: Write the proportion equation
   782,541 : 1,649,139 = 1,649,139 : x
2. Step 2: Convert to fraction form
   782,541/1,649,139 = 1,649,139/x
3. Step 3: Cross multiply
   782,541x = 1,649,139 × 1,649,139
4. Step 4: Simplify right side
   782,541x = 2,719,659,441,321
5. Step 5: Solve for x
   x = 2,719,659,441,321/782,541
6. Step 6: Final answer
   x = 3,475,421.02