Finding the Third Proportional to 53,377 and 116,150

Step by Step Solution

1. Step 1: Write the proportion equation
   53,377 : 116,150 = 116,150 : x
2. Step 2: Convert to fraction form
   53,377/116,150 = 116,150/x
3. Step 3: Cross multiply
   53,377x = 116,150 × 116,150
4. Step 4: Simplify right side
   53,377x = 13,490,822,500
5. Step 5: Solve for x
   x = 13,490,822,500/53,377
6. Step 6: Final answer
   x = 252,745.99