Finding the Third Proportional to 42,771 and 87,222

Step by Step Solution

1. Step 1: Write the proportion equation
   42,771 : 87,222 = 87,222 : x
2. Step 2: Convert to fraction form
   42,771/87,222 = 87,222/x
3. Step 3: Cross multiply
   42,771x = 87,222 × 87,222
4. Step 4: Simplify right side
   42,771x = 7,607,677,284
5. Step 5: Solve for x
   x = 7,607,677,284/42,771
6. Step 6: Final answer
   x = 177,869.99