Finding the Third Proportional to 76,116 and 113,754

Step by Step Solution

1. Step 1: Write the proportion equation
   76,116 : 113,754 = 113,754 : x
2. Step 2: Convert to fraction form
   76,116/113,754 = 113,754/x
3. Step 3: Cross multiply
   76,116x = 113,754 × 113,754
4. Step 4: Simplify right side
   76,116x = 12,939,972,516
5. Step 5: Solve for x
   x = 12,939,972,516/76,116
6. Step 6: Final answer
   x = 170,003.32