Finding the Third Proportional to 48,632 and 114,500

Step by Step Solution

1. Step 1: Write the proportion equation
   48,632 : 114,500 = 114,500 : x
2. Step 2: Convert to fraction form
   48,632/114,500 = 114,500/x
3. Step 3: Cross multiply
   48,632x = 114,500 × 114,500
4. Step 4: Simplify right side
   48,632x = 13,110,250,000
5. Step 5: Solve for x
   x = 13,110,250,000/48,632
6. Step 6: Final answer
   x = 269,580.73