Finding the Third Proportional to 90,625.50 and 194,377.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,625.50 : 194,377.50 = 194,377.50 : x
2. Step 2: Convert to fraction form
   90,625.50/194,377.50 = 194,377.50/x
3. Step 3: Cross multiply
   90,625.50x = 194,377.50 × 194,377.50
4. Step 4: Simplify right side
   90,625.50x = 37,782,612,506.25
5. Step 5: Solve for x
   x = 37,782,612,506.25/90,625.50
6. Step 6: Final answer
   x = 416,909.29