Finding the Third Proportional to 42,769 and 87,218

Step by Step Solution

1. Step 1: Write the proportion equation
   42,769 : 87,218 = 87,218 : x
2. Step 2: Convert to fraction form
   42,769/87,218 = 87,218/x
3. Step 3: Cross multiply
   42,769x = 87,218 × 87,218
4. Step 4: Simplify right side
   42,769x = 7,606,979,524
5. Step 5: Solve for x
   x = 7,606,979,524/42,769
6. Step 6: Final answer
   x = 177,861.99