Finding the Third Proportional to 89,035 and 137,677

Step by Step Solution

1. Step 1: Write the proportion equation
   89,035 : 137,677 = 137,677 : x
2. Step 2: Convert to fraction form
   89,035/137,677 = 137,677/x
3. Step 3: Cross multiply
   89,035x = 137,677 × 137,677
4. Step 4: Simplify right side
   89,035x = 18,954,956,329
5. Step 5: Solve for x
   x = 18,954,956,329/89,035
6. Step 6: Final answer
   x = 212,893.32