Finding the Third Proportional to 89,846 and 134,770

Step by Step Solution

1. Step 1: Write the proportion equation
   89,846 : 134,770 = 134,770 : x
2. Step 2: Convert to fraction form
   89,846/134,770 = 134,770/x
3. Step 3: Cross multiply
   89,846x = 134,770 × 134,770
4. Step 4: Simplify right side
   89,846x = 18,162,952,900
5. Step 5: Solve for x
   x = 18,162,952,900/89,846
6. Step 6: Final answer
   x = 202,156.50