Finding the Third Proportional to 686,592 and 1,005,312

Step by Step Solution

1. Step 1: Write the proportion equation
   686,592 : 1,005,312 = 1,005,312 : x
2. Step 2: Convert to fraction form
   686,592/1,005,312 = 1,005,312/x
3. Step 3: Cross multiply
   686,592x = 1,005,312 × 1,005,312
4. Step 4: Simplify right side
   686,592x = 1,010,652,217,344
5. Step 5: Solve for x
   x = 1,010,652,217,344/686,592
6. Step 6: Final answer
   x = 1,471,983.68