Finding the Third Proportional to 103,624 and 169,632

Step by Step Solution

1. Step 1: Write the proportion equation
   103,624 : 169,632 = 169,632 : x
2. Step 2: Convert to fraction form
   103,624/169,632 = 169,632/x
3. Step 3: Cross multiply
   103,624x = 169,632 × 169,632
4. Step 4: Simplify right side
   103,624x = 28,775,015,424
5. Step 5: Solve for x
   x = 28,775,015,424/103,624
6. Step 6: Final answer
   x = 277,686.79