Finding the Third Proportional to 90,898 and 193,459

Step by Step Solution

1. Step 1: Write the proportion equation
   90,898 : 193,459 = 193,459 : x
2. Step 2: Convert to fraction form
   90,898/193,459 = 193,459/x
3. Step 3: Cross multiply
   90,898x = 193,459 × 193,459
4. Step 4: Simplify right side
   90,898x = 37,426,384,681
5. Step 5: Solve for x
   x = 37,426,384,681/90,898
6. Step 6: Final answer
   x = 411,740.46