Finding the Third Proportional to 948,460 and 1,686,396

Step by Step Solution

1. Step 1: Write the proportion equation
   948,460 : 1,686,396 = 1,686,396 : x
2. Step 2: Convert to fraction form
   948,460/1,686,396 = 1,686,396/x
3. Step 3: Cross multiply
   948,460x = 1,686,396 × 1,686,396
4. Step 4: Simplify right side
   948,460x = 2,843,931,468,816
5. Step 5: Solve for x
   x = 2,843,931,468,816/948,460
6. Step 6: Final answer
   x = 2,998,472.75