Finding the Third Proportional to 54,336 and 112,164

Step by Step Solution

1. Step 1: Write the proportion equation
   54,336 : 112,164 = 112,164 : x
2. Step 2: Convert to fraction form
   54,336/112,164 = 112,164/x
3. Step 3: Cross multiply
   54,336x = 112,164 × 112,164
4. Step 4: Simplify right side
   54,336x = 12,580,762,896
5. Step 5: Solve for x
   x = 12,580,762,896/54,336
6. Step 6: Final answer
   x = 231,536.42