Finding the Third Proportional to 782,547 and 1,649,142

Step by Step Solution

1. Step 1: Write the proportion equation
   782,547 : 1,649,142 = 1,649,142 : x
2. Step 2: Convert to fraction form
   782,547/1,649,142 = 1,649,142/x
3. Step 3: Cross multiply
   782,547x = 1,649,142 × 1,649,142
4. Step 4: Simplify right side
   782,547x = 2,719,669,336,164
5. Step 5: Solve for x
   x = 2,719,669,336,164/782,547
6. Step 6: Final answer
   x = 3,475,407.02