Finding the Third Proportional to 113,682 and 169,820

Step by Step Solution

1. Step 1: Write the proportion equation
   113,682 : 169,820 = 169,820 : x
2. Step 2: Convert to fraction form
   113,682/169,820 = 169,820/x
3. Step 3: Cross multiply
   113,682x = 169,820 × 169,820
4. Step 4: Simplify right side
   113,682x = 28,838,832,400
5. Step 5: Solve for x
   x = 28,838,832,400/113,682
6. Step 6: Final answer
   x = 253,679.85