Finding the Third Proportional to 53,748 and 116,701

Step by Step Solution

1. Step 1: Write the proportion equation
   53,748 : 116,701 = 116,701 : x
2. Step 2: Convert to fraction form
   53,748/116,701 = 116,701/x
3. Step 3: Cross multiply
   53,748x = 116,701 × 116,701
4. Step 4: Simplify right side
   53,748x = 13,619,123,401
5. Step 5: Solve for x
   x = 13,619,123,401/53,748
6. Step 6: Final answer
   x = 253,388.47