Finding the Third Proportional to 88,978.50 and 193,266

Step by Step Solution

1. Step 1: Write the proportion equation
   88,978.50 : 193,266 = 193,266 : x
2. Step 2: Convert to fraction form
   88,978.50/193,266 = 193,266/x
3. Step 3: Cross multiply
   88,978.50x = 193,266 × 193,266
4. Step 4: Simplify right side
   88,978.50x = 37,351,746,756
5. Step 5: Solve for x
   x = 37,351,746,756/88,978.50
6. Step 6: Final answer
   x = 419,783.96