Finding the Third Proportional to 88,688 and 137,697

Step by Step Solution

1. Step 1: Write the proportion equation
   88,688 : 137,697 = 137,697 : x
2. Step 2: Convert to fraction form
   88,688/137,697 = 137,697/x
3. Step 3: Cross multiply
   88,688x = 137,697 × 137,697
4. Step 4: Simplify right side
   88,688x = 18,960,463,809
5. Step 5: Solve for x
   x = 18,960,463,809/88,688
6. Step 6: Final answer
   x = 213,788.38