Finding the Third Proportional to 89,790 and 137,826

Step by Step Solution

1. Step 1: Write the proportion equation
   89,790 : 137,826 = 137,826 : x
2. Step 2: Convert to fraction form
   89,790/137,826 = 137,826/x
3. Step 3: Cross multiply
   89,790x = 137,826 × 137,826
4. Step 4: Simplify right side
   89,790x = 18,996,006,276
5. Step 5: Solve for x
   x = 18,996,006,276/89,790
6. Step 6: Final answer
   x = 211,560.38