Finding the Third Proportional to 686,594 and 1,005,315

Step by Step Solution

1. Step 1: Write the proportion equation
   686,594 : 1,005,315 = 1,005,315 : x
2. Step 2: Convert to fraction form
   686,594/1,005,315 = 1,005,315/x
3. Step 3: Cross multiply
   686,594x = 1,005,315 × 1,005,315
4. Step 4: Simplify right side
   686,594x = 1,010,658,249,225
5. Step 5: Solve for x
   x = 1,010,658,249,225/686,594
6. Step 6: Final answer
   x = 1,471,988.18