Finding the Third Proportional to 42,210 and 89,164

Step by Step Solution

1. Step 1: Write the proportion equation
   42,210 : 89,164 = 89,164 : x
2. Step 2: Convert to fraction form
   42,210/89,164 = 89,164/x
3. Step 3: Cross multiply
   42,210x = 89,164 × 89,164
4. Step 4: Simplify right side
   42,210x = 7,950,218,896
5. Step 5: Solve for x
   x = 7,950,218,896/42,210
6. Step 6: Final answer
   x = 188,349.18