Finding the Third Proportional to 90,444 and 194,009.25

Step by Step Solution

1. Step 1: Write the proportion equation
   90,444 : 194,009.25 = 194,009.25 : x
2. Step 2: Convert to fraction form
   90,444/194,009.25 = 194,009.25/x
3. Step 3: Cross multiply
   90,444x = 194,009.25 × 194,009.25
4. Step 4: Simplify right side
   90,444x = 37,639,589,085.56
5. Step 5: Solve for x
   x = 37,639,589,085.56/90,444
6. Step 6: Final answer
   x = 416,164.58