Finding the Third Proportional to 90,644 and 194,409

Step by Step Solution

1. Step 1: Write the proportion equation
   90,644 : 194,409 = 194,409 : x
2. Step 2: Convert to fraction form
   90,644/194,409 = 194,409/x
3. Step 3: Cross multiply
   90,644x = 194,409 × 194,409
4. Step 4: Simplify right side
   90,644x = 37,794,859,281
5. Step 5: Solve for x
   x = 37,794,859,281/90,644
6. Step 6: Final answer
   x = 416,959.31