Finding the Third Proportional to 72,686 and 109,461

Step by Step Solution

1. Step 1: Write the proportion equation
   72,686 : 109,461 = 109,461 : x
2. Step 2: Convert to fraction form
   72,686/109,461 = 109,461/x
3. Step 3: Cross multiply
   72,686x = 109,461 × 109,461
4. Step 4: Simplify right side
   72,686x = 11,981,710,521
5. Step 5: Solve for x
   x = 11,981,710,521/72,686
6. Step 6: Final answer
   x = 164,842.07