Finding the Third Proportional to 76,146.75 and 113,781.38

Step by Step Solution

1. Step 1: Write the proportion equation
   76,146.75 : 113,781.38 = 113,781.38 : x
2. Step 2: Convert to fraction form
   76,146.75/113,781.38 = 113,781.38/x
3. Step 3: Cross multiply
   76,146.75x = 113,781.38 × 113,781.38
4. Step 4: Simplify right side
   76,146.75x = 12,946,201,296.89
5. Step 5: Solve for x
   x = 12,946,201,296.89/76,146.75
6. Step 6: Final answer
   x = 170,016.47