Finding the Third Proportional to 37,759.50 and 88,188.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,759.50 : 88,188.75 = 88,188.75 : x
2. Step 2: Convert to fraction form
   37,759.50/88,188.75 = 88,188.75/x
3. Step 3: Cross multiply
   37,759.50x = 88,188.75 × 88,188.75
4. Step 4: Simplify right side
   37,759.50x = 7,777,255,626.56
5. Step 5: Solve for x
   x = 7,777,255,626.56/37,759.50
6. Step 6: Final answer
   x = 205,968.18