Finding the Third Proportional to 103,510 and 146,496

Step by Step Solution

1. Step 1: Write the proportion equation
   103,510 : 146,496 = 146,496 : x
2. Step 2: Convert to fraction form
   103,510/146,496 = 146,496/x
3. Step 3: Cross multiply
   103,510x = 146,496 × 146,496
4. Step 4: Simplify right side
   103,510x = 21,461,078,016
5. Step 5: Solve for x
   x = 21,461,078,016/103,510
6. Step 6: Final answer
   x = 207,333.38