Finding the Third Proportional to 55,416 and 114,774

Step by Step Solution

1. Step 1: Write the proportion equation
   55,416 : 114,774 = 114,774 : x
2. Step 2: Convert to fraction form
   55,416/114,774 = 114,774/x
3. Step 3: Cross multiply
   55,416x = 114,774 × 114,774
4. Step 4: Simplify right side
   55,416x = 13,173,071,076
5. Step 5: Solve for x
   x = 13,173,071,076/55,416
6. Step 6: Final answer
   x = 237,712.41