Finding the Third Proportional to 89,410 and 147,268

Step by Step Solution

1. Step 1: Write the proportion equation
   89,410 : 147,268 = 147,268 : x
2. Step 2: Convert to fraction form
   89,410/147,268 = 147,268/x
3. Step 3: Cross multiply
   89,410x = 147,268 × 147,268
4. Step 4: Simplify right side
   89,410x = 21,687,863,824
5. Step 5: Solve for x
   x = 21,687,863,824/89,410
6. Step 6: Final answer
   x = 242,566.42