Finding the Third Proportional to 90,632 and 194,389.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,632 : 194,389.50 = 194,389.50 : x
2. Step 2: Convert to fraction form
   90,632/194,389.50 = 194,389.50/x
3. Step 3: Cross multiply
   90,632x = 194,389.50 × 194,389.50
4. Step 4: Simplify right side
   90,632x = 37,787,277,710.25
5. Step 5: Solve for x
   x = 37,787,277,710.25/90,632
6. Step 6: Final answer
   x = 416,930.86