Finding the Third Proportional to 90,638.25 and 194,394

Step by Step Solution

1. Step 1: Write the proportion equation
   90,638.25 : 194,394 = 194,394 : x
2. Step 2: Convert to fraction form
   90,638.25/194,394 = 194,394/x
3. Step 3: Cross multiply
   90,638.25x = 194,394 × 194,394
4. Step 4: Simplify right side
   90,638.25x = 37,789,027,236
5. Step 5: Solve for x
   x = 37,789,027,236/90,638.25
6. Step 6: Final answer
   x = 416,921.41