Finding the Third Proportional to 75,899 and 111,388

Step by Step Solution

1. Step 1: Write the proportion equation
   75,899 : 111,388 = 111,388 : x
2. Step 2: Convert to fraction form
   75,899/111,388 = 111,388/x
3. Step 3: Cross multiply
   75,899x = 111,388 × 111,388
4. Step 4: Simplify right side
   75,899x = 12,407,286,544
5. Step 5: Solve for x
   x = 12,407,286,544/75,899
6. Step 6: Final answer
   x = 163,471.01