Finding the Third Proportional to 37,758 and 88,185

Step by Step Solution

1. Step 1: Write the proportion equation
   37,758 : 88,185 = 88,185 : x
2. Step 2: Convert to fraction form
   37,758/88,185 = 88,185/x
3. Step 3: Cross multiply
   37,758x = 88,185 × 88,185
4. Step 4: Simplify right side
   37,758x = 7,776,594,225
5. Step 5: Solve for x
   x = 7,776,594,225/37,758
6. Step 6: Final answer
   x = 205,958.85