Finding the Third Proportional to 90,633.50 and 194,389

Step by Step Solution

1. Step 1: Write the proportion equation
   90,633.50 : 194,389 = 194,389 : x
2. Step 2: Convert to fraction form
   90,633.50/194,389 = 194,389/x
3. Step 3: Cross multiply
   90,633.50x = 194,389 × 194,389
4. Step 4: Simplify right side
   90,633.50x = 37,787,083,321
5. Step 5: Solve for x
   x = 37,787,083,321/90,633.50
6. Step 6: Final answer
   x = 416,921.82