Finding the Third Proportional to 53,942 and 116,630

Step by Step Solution

1. Step 1: Write the proportion equation
   53,942 : 116,630 = 116,630 : x
2. Step 2: Convert to fraction form
   53,942/116,630 = 116,630/x
3. Step 3: Cross multiply
   53,942x = 116,630 × 116,630
4. Step 4: Simplify right side
   53,942x = 13,602,556,900
5. Step 5: Solve for x
   x = 13,602,556,900/53,942
6. Step 6: Final answer
   x = 252,170.05