Finding the Third Proportional to 53,900 and 117,238

Step by Step Solution

1. Step 1: Write the proportion equation
   53,900 : 117,238 = 117,238 : x
2. Step 2: Convert to fraction form
   53,900/117,238 = 117,238/x
3. Step 3: Cross multiply
   53,900x = 117,238 × 117,238
4. Step 4: Simplify right side
   53,900x = 13,744,748,644
5. Step 5: Solve for x
   x = 13,744,748,644/53,900
6. Step 6: Final answer
   x = 255,004.61