Finding the Third Proportional to 721,847 and 1,009,156

Step by Step Solution

1. Step 1: Write the proportion equation
   721,847 : 1,009,156 = 1,009,156 : x
2. Step 2: Convert to fraction form
   721,847/1,009,156 = 1,009,156/x
3. Step 3: Cross multiply
   721,847x = 1,009,156 × 1,009,156
4. Step 4: Simplify right side
   721,847x = 1,018,395,832,336
5. Step 5: Solve for x
   x = 1,018,395,832,336/721,847
6. Step 6: Final answer
   x = 1,410,819.51