Finding the Third Proportional to 90,632.38 and 194,386.75

Step by Step Solution

1. Step 1: Write the proportion equation
   90,632.38 : 194,386.75 = 194,386.75 : x
2. Step 2: Convert to fraction form
   90,632.38/194,386.75 = 194,386.75/x
3. Step 3: Cross multiply
   90,632.38x = 194,386.75 × 194,386.75
4. Step 4: Simplify right side
   90,632.38x = 37,786,208,575.56
5. Step 5: Solve for x
   x = 37,786,208,575.56/90,632.38
6. Step 6: Final answer
   x = 416,917.34