Finding the Third Proportional to 76,316 and 111,958

Step by Step Solution

1. Step 1: Write the proportion equation
   76,316 : 111,958 = 111,958 : x
2. Step 2: Convert to fraction form
   76,316/111,958 = 111,958/x
3. Step 3: Cross multiply
   76,316x = 111,958 × 111,958
4. Step 4: Simplify right side
   76,316x = 12,534,593,764
5. Step 5: Solve for x
   x = 12,534,593,764/76,316
6. Step 6: Final answer
   x = 164,245.95