Finding the Third Proportional to 76,314 and 111,955

Step by Step Solution

1. Step 1: Write the proportion equation
   76,314 : 111,955 = 111,955 : x
2. Step 2: Convert to fraction form
   76,314/111,955 = 111,955/x
3. Step 3: Cross multiply
   76,314x = 111,955 × 111,955
4. Step 4: Simplify right side
   76,314x = 12,533,922,025
5. Step 5: Solve for x
   x = 12,533,922,025/76,314
6. Step 6: Final answer
   x = 164,241.45