Finding the Third Proportional to 103,636 and 169,650

Step by Step Solution

1. Step 1: Write the proportion equation
   103,636 : 169,650 = 169,650 : x
2. Step 2: Convert to fraction form
   103,636/169,650 = 169,650/x
3. Step 3: Cross multiply
   103,636x = 169,650 × 169,650
4. Step 4: Simplify right side
   103,636x = 28,781,122,500
5. Step 5: Solve for x
   x = 28,781,122,500/103,636
6. Step 6: Final answer
   x = 277,713.56