Finding the Third Proportional to 53,282 and 116,500

Step by Step Solution

1. Step 1: Write the proportion equation
   53,282 : 116,500 = 116,500 : x
2. Step 2: Convert to fraction form
   53,282/116,500 = 116,500/x
3. Step 3: Cross multiply
   53,282x = 116,500 × 116,500
4. Step 4: Simplify right side
   53,282x = 13,572,250,000
5. Step 5: Solve for x
   x = 13,572,250,000/53,282
6. Step 6: Final answer
   x = 254,724.86