Finding the Third Proportional to 52,377 and 113,054

Step by Step Solution

1. Step 1: Write the proportion equation
   52,377 : 113,054 = 113,054 : x
2. Step 2: Convert to fraction form
   52,377/113,054 = 113,054/x
3. Step 3: Cross multiply
   52,377x = 113,054 × 113,054
4. Step 4: Simplify right side
   52,377x = 12,781,206,916
5. Step 5: Solve for x
   x = 12,781,206,916/52,377
6. Step 6: Final answer
   x = 244,023.27