Finding the Third Proportional to 76,608 and 111,942

Step by Step Solution

1. Step 1: Write the proportion equation
   76,608 : 111,942 = 111,942 : x
2. Step 2: Convert to fraction form
   76,608/111,942 = 111,942/x
3. Step 3: Cross multiply
   76,608x = 111,942 × 111,942
4. Step 4: Simplify right side
   76,608x = 12,531,011,364
5. Step 5: Solve for x
   x = 12,531,011,364/76,608
6. Step 6: Final answer
   x = 163,573.14