Finding the Third Proportional to 686,967 and 1,005,840

Step by Step Solution

1. Step 1: Write the proportion equation
   686,967 : 1,005,840 = 1,005,840 : x
2. Step 2: Convert to fraction form
   686,967/1,005,840 = 1,005,840/x
3. Step 3: Cross multiply
   686,967x = 1,005,840 × 1,005,840
4. Step 4: Simplify right side
   686,967x = 1,011,714,105,600
5. Step 5: Solve for x
   x = 1,011,714,105,600/686,967
6. Step 6: Final answer
   x = 1,472,725.92