Finding the Third Proportional to 53,940 and 114,684

Step by Step Solution

1. Step 1: Write the proportion equation
   53,940 : 114,684 = 114,684 : x
2. Step 2: Convert to fraction form
   53,940/114,684 = 114,684/x
3. Step 3: Cross multiply
   53,940x = 114,684 × 114,684
4. Step 4: Simplify right side
   53,940x = 13,152,419,856
5. Step 5: Solve for x
   x = 13,152,419,856/53,940
6. Step 6: Final answer
   x = 243,834.26