Finding the Third Proportional to 90,643.50 and 196,353

Step by Step Solution

1. Step 1: Write the proportion equation
   90,643.50 : 196,353 = 196,353 : x
2. Step 2: Convert to fraction form
   90,643.50/196,353 = 196,353/x
3. Step 3: Cross multiply
   90,643.50x = 196,353 × 196,353
4. Step 4: Simplify right side
   90,643.50x = 38,554,500,609
5. Step 5: Solve for x
   x = 38,554,500,609/90,643.50
6. Step 6: Final answer
   x = 425,342.14