Finding the Third Proportional to 89,359 and 192,446

Step by Step Solution

1. Step 1: Write the proportion equation
   89,359 : 192,446 = 192,446 : x
2. Step 2: Convert to fraction form
   89,359/192,446 = 192,446/x
3. Step 3: Cross multiply
   89,359x = 192,446 × 192,446
4. Step 4: Simplify right side
   89,359x = 37,035,462,916
5. Step 5: Solve for x
   x = 37,035,462,916/89,359
6. Step 6: Final answer
   x = 414,457.00