Finding the Third Proportional to 89,007 and 137,772

Step by Step Solution

1. Step 1: Write the proportion equation
   89,007 : 137,772 = 137,772 : x
2. Step 2: Convert to fraction form
   89,007/137,772 = 137,772/x
3. Step 3: Cross multiply
   89,007x = 137,772 × 137,772
4. Step 4: Simplify right side
   89,007x = 18,981,123,984
5. Step 5: Solve for x
   x = 18,981,123,984/89,007
6. Step 6: Final answer
   x = 213,254.28