Finding the Third Proportional to 89,864 and 137,658

Step by Step Solution

1. Step 1: Write the proportion equation
   89,864 : 137,658 = 137,658 : x
2. Step 2: Convert to fraction form
   89,864/137,658 = 137,658/x
3. Step 3: Cross multiply
   89,864x = 137,658 × 137,658
4. Step 4: Simplify right side
   89,864x = 18,949,724,964
5. Step 5: Solve for x
   x = 18,949,724,964/89,864
6. Step 6: Final answer
   x = 210,871.15