Finding the Third Proportional to 54,644 and 112,696

Step by Step Solution

1. Step 1: Write the proportion equation
   54,644 : 112,696 = 112,696 : x
2. Step 2: Convert to fraction form
   54,644/112,696 = 112,696/x
3. Step 3: Cross multiply
   54,644x = 112,696 × 112,696
4. Step 4: Simplify right side
   54,644x = 12,700,388,416
5. Step 5: Solve for x
   x = 12,700,388,416/54,644
6. Step 6: Final answer
   x = 232,420.55