Finding the Third Proportional to 825,624 and 1,162,658

Step by Step Solution

1. Step 1: Write the proportion equation
   825,624 : 1,162,658 = 1,162,658 : x
2. Step 2: Convert to fraction form
   825,624/1,162,658 = 1,162,658/x
3. Step 3: Cross multiply
   825,624x = 1,162,658 × 1,162,658
4. Step 4: Simplify right side
   825,624x = 1,351,773,624,964
5. Step 5: Solve for x
   x = 1,351,773,624,964/825,624
6. Step 6: Final answer
   x = 1,637,275.11