Finding the Third Proportional to 90,446 and 196,453

Step by Step Solution

1. Step 1: Write the proportion equation
   90,446 : 196,453 = 196,453 : x
2. Step 2: Convert to fraction form
   90,446/196,453 = 196,453/x
3. Step 3: Cross multiply
   90,446x = 196,453 × 196,453
4. Step 4: Simplify right side
   90,446x = 38,593,781,209
5. Step 5: Solve for x
   x = 38,593,781,209/90,446
6. Step 6: Final answer
   x = 426,705.23