Finding the Third Proportional to 91,743.75 and 137,188.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,743.75 : 137,188.50 = 137,188.50 : x
2. Step 2: Convert to fraction form
   91,743.75/137,188.50 = 137,188.50/x
3. Step 3: Cross multiply
   91,743.75x = 137,188.50 × 137,188.50
4. Step 4: Simplify right side
   91,743.75x = 18,820,684,532.25
5. Step 5: Solve for x
   x = 18,820,684,532.25/91,743.75
6. Step 6: Final answer
   x = 205,144.05