Finding the Third Proportional to 53,138 and 116,932

Step by Step Solution

1. Step 1: Write the proportion equation
   53,138 : 116,932 = 116,932 : x
2. Step 2: Convert to fraction form
   53,138/116,932 = 116,932/x
3. Step 3: Cross multiply
   53,138x = 116,932 × 116,932
4. Step 4: Simplify right side
   53,138x = 13,673,092,624
5. Step 5: Solve for x
   x = 13,673,092,624/53,138
6. Step 6: Final answer
   x = 257,312.90