Finding the Third Proportional to 89,826 and 137,468

Step by Step Solution

1. Step 1: Write the proportion equation
   89,826 : 137,468 = 137,468 : x
2. Step 2: Convert to fraction form
   89,826/137,468 = 137,468/x
3. Step 3: Cross multiply
   89,826x = 137,468 × 137,468
4. Step 4: Simplify right side
   89,826x = 18,897,451,024
5. Step 5: Solve for x
   x = 18,897,451,024/89,826
6. Step 6: Final answer
   x = 210,378.41