Finding the Third Proportional to 90,686.25 and 194,494.50

Step by Step Solution

1. Step 1: Write the proportion equation
   90,686.25 : 194,494.50 = 194,494.50 : x
2. Step 2: Convert to fraction form
   90,686.25/194,494.50 = 194,494.50/x
3. Step 3: Cross multiply
   90,686.25x = 194,494.50 × 194,494.50
4. Step 4: Simplify right side
   90,686.25x = 37,828,110,530.25
5. Step 5: Solve for x
   x = 37,828,110,530.25/90,686.25
6. Step 6: Final answer
   x = 417,131.71