Finding the Third Proportional to 90,983.25 and 194,434.88

Step by Step Solution

1. Step 1: Write the proportion equation
   90,983.25 : 194,434.88 = 194,434.88 : x
2. Step 2: Convert to fraction form
   90,983.25/194,434.88 = 194,434.88/x
3. Step 3: Cross multiply
   90,983.25x = 194,434.88 × 194,434.88
4. Step 4: Simplify right side
   90,983.25x = 37,804,920,616.27
5. Step 5: Solve for x
   x = 37,804,920,616.27/90,983.25
6. Step 6: Final answer
   x = 415,515.17