Finding the Third Proportional to 42,212 and 89,192

Step by Step Solution

1. Step 1: Write the proportion equation
   42,212 : 89,192 = 89,192 : x
2. Step 2: Convert to fraction form
   42,212/89,192 = 89,192/x
3. Step 3: Cross multiply
   42,212x = 89,192 × 89,192
4. Step 4: Simplify right side
   42,212x = 7,955,212,864
5. Step 5: Solve for x
   x = 7,955,212,864/42,212
6. Step 6: Final answer
   x = 188,458.56