Finding the Third Proportional to 73,831.50 and 114,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   73,831.50 : 114,538.50 = 114,538.50 : x
2. Step 2: Convert to fraction form
   73,831.50/114,538.50 = 114,538.50/x
3. Step 3: Cross multiply
   73,831.50x = 114,538.50 × 114,538.50
4. Step 4: Simplify right side
   73,831.50x = 13,119,067,982.25
5. Step 5: Solve for x
   x = 13,119,067,982.25/73,831.50
6. Step 6: Final answer
   x = 177,689.31