Finding the Third Proportional to 53,704 and 116,638

Step by Step Solution

1. Step 1: Write the proportion equation
   53,704 : 116,638 = 116,638 : x
2. Step 2: Convert to fraction form
   53,704/116,638 = 116,638/x
3. Step 3: Cross multiply
   53,704x = 116,638 × 116,638
4. Step 4: Simplify right side
   53,704x = 13,604,423,044
5. Step 5: Solve for x
   x = 13,604,423,044/53,704
6. Step 6: Final answer
   x = 253,322.34