Finding the Third Proportional to 76,648 and 114,500

Step by Step Solution

1. Step 1: Write the proportion equation
   76,648 : 114,500 = 114,500 : x
2. Step 2: Convert to fraction form
   76,648/114,500 = 114,500/x
3. Step 3: Cross multiply
   76,648x = 114,500 × 114,500
4. Step 4: Simplify right side
   76,648x = 13,110,250,000
5. Step 5: Solve for x
   x = 13,110,250,000/76,648
6. Step 6: Final answer
   x = 171,044.91