Finding the Third Proportional to 90,641 and 194,395

Step by Step Solution

1. Step 1: Write the proportion equation
   90,641 : 194,395 = 194,395 : x
2. Step 2: Convert to fraction form
   90,641/194,395 = 194,395/x
3. Step 3: Cross multiply
   90,641x = 194,395 × 194,395
4. Step 4: Simplify right side
   90,641x = 37,789,416,025
5. Step 5: Solve for x
   x = 37,789,416,025/90,641
6. Step 6: Final answer
   x = 416,913.05