Finding the Third Proportional to 92,101.50 and 137,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,101.50 : 137,584.50 = 137,584.50 : x
2. Step 2: Convert to fraction form
   92,101.50/137,584.50 = 137,584.50/x
3. Step 3: Cross multiply
   92,101.50x = 137,584.50 × 137,584.50
4. Step 4: Simplify right side
   92,101.50x = 18,929,494,640.25
5. Step 5: Solve for x
   x = 18,929,494,640.25/92,101.50
6. Step 6: Final answer
   x = 205,528.62