Finding the Third Proportional to 90,644 and 194,396

Step by Step Solution

1. Step 1: Write the proportion equation
   90,644 : 194,396 = 194,396 : x
2. Step 2: Convert to fraction form
   90,644/194,396 = 194,396/x
3. Step 3: Cross multiply
   90,644x = 194,396 × 194,396
4. Step 4: Simplify right side
   90,644x = 37,789,804,816
5. Step 5: Solve for x
   x = 37,789,804,816/90,644
6. Step 6: Final answer
   x = 416,903.54