Finding the Third Proportional to 42,276 and 89,266

Step by Step Solution

1. Step 1: Write the proportion equation
   42,276 : 89,266 = 89,266 : x
2. Step 2: Convert to fraction form
   42,276/89,266 = 89,266/x
3. Step 3: Cross multiply
   42,276x = 89,266 × 89,266
4. Step 4: Simplify right side
   42,276x = 7,968,418,756
5. Step 5: Solve for x
   x = 7,968,418,756/42,276
6. Step 6: Final answer
   x = 188,485.64