Finding the Third Proportional to 90,769.50 and 196,344

Step by Step Solution

1. Step 1: Write the proportion equation
   90,769.50 : 196,344 = 196,344 : x
2. Step 2: Convert to fraction form
   90,769.50/196,344 = 196,344/x
3. Step 3: Cross multiply
   90,769.50x = 196,344 × 196,344
4. Step 4: Simplify right side
   90,769.50x = 38,550,966,336
5. Step 5: Solve for x
   x = 38,550,966,336/90,769.50
6. Step 6: Final answer
   x = 424,712.78