Finding the Third Proportional to 90,796.50 and 185,280.75

Step by Step Solution

1. Step 1: Write the proportion equation
   90,796.50 : 185,280.75 = 185,280.75 : x
2. Step 2: Convert to fraction form
   90,796.50/185,280.75 = 185,280.75/x
3. Step 3: Cross multiply
   90,796.50x = 185,280.75 × 185,280.75
4. Step 4: Simplify right side
   90,796.50x = 34,328,956,320.56
5. Step 5: Solve for x
   x = 34,328,956,320.56/90,796.50
6. Step 6: Final answer
   x = 378,086.78