Finding the Third Proportional to 80,991 and 178,087.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,991 : 178,087.50 = 178,087.50 : x
2. Step 2: Convert to fraction form
   80,991/178,087.50 = 178,087.50/x
3. Step 3: Cross multiply
   80,991x = 178,087.50 × 178,087.50
4. Step 4: Simplify right side
   80,991x = 31,715,157,656.25
5. Step 5: Solve for x
   x = 31,715,157,656.25/80,991
6. Step 6: Final answer
   x = 391,588.67