Finding the Third Proportional to 90,946 and 194,522

Step by Step Solution

1. Step 1: Write the proportion equation
   90,946 : 194,522 = 194,522 : x
2. Step 2: Convert to fraction form
   90,946/194,522 = 194,522/x
3. Step 3: Cross multiply
   90,946x = 194,522 × 194,522
4. Step 4: Simplify right side
   90,946x = 37,838,808,484
5. Step 5: Solve for x
   x = 37,838,808,484/90,946
6. Step 6: Final answer
   x = 416,057.97