Finding the Third Proportional to 42,278 and 89,270

Step by Step Solution

1. Step 1: Write the proportion equation
   42,278 : 89,270 = 89,270 : x
2. Step 2: Convert to fraction form
   42,278/89,270 = 89,270/x
3. Step 3: Cross multiply
   42,278x = 89,270 × 89,270
4. Step 4: Simplify right side
   42,278x = 7,969,132,900
5. Step 5: Solve for x
   x = 7,969,132,900/42,278
6. Step 6: Final answer
   x = 188,493.61