Finding the Third Proportional to 37,758.75 and 88,185.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,758.75 : 88,185.75 = 88,185.75 : x
2. Step 2: Convert to fraction form
   37,758.75/88,185.75 = 88,185.75/x
3. Step 3: Cross multiply
   37,758.75x = 88,185.75 × 88,185.75
4. Step 4: Simplify right side
   37,758.75x = 7,776,726,503.06
5. Step 5: Solve for x
   x = 7,776,726,503.06/37,758.75
6. Step 6: Final answer
   x = 205,958.26