Finding the Third Proportional to 88,684 and 137,690.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,684 : 137,690.50 = 137,690.50 : x
2. Step 2: Convert to fraction form
   88,684/137,690.50 = 137,690.50/x
3. Step 3: Cross multiply
   88,684x = 137,690.50 × 137,690.50
4. Step 4: Simplify right side
   88,684x = 18,958,673,790.25
5. Step 5: Solve for x
   x = 18,958,673,790.25/88,684
6. Step 6: Final answer
   x = 213,777.84