Finding the Third Proportional to 90,882.75 and 194,401.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,882.75 : 194,401.50 = 194,401.50 : x
2. Step 2: Convert to fraction form
   90,882.75/194,401.50 = 194,401.50/x
3. Step 3: Cross multiply
   90,882.75x = 194,401.50 × 194,401.50
4. Step 4: Simplify right side
   90,882.75x = 37,791,943,202.25
5. Step 5: Solve for x
   x = 37,791,943,202.25/90,882.75
6. Step 6: Final answer
   x = 415,831.86