Finding the Third Proportional to 88,906 and 137,619

Step by Step Solution

1. Step 1: Write the proportion equation
   88,906 : 137,619 = 137,619 : x
2. Step 2: Convert to fraction form
   88,906/137,619 = 137,619/x
3. Step 3: Cross multiply
   88,906x = 137,619 × 137,619
4. Step 4: Simplify right side
   88,906x = 18,938,989,161
5. Step 5: Solve for x
   x = 18,938,989,161/88,906
6. Step 6: Final answer
   x = 213,022.62