Finding the Third Proportional to 91,323 and 196,254

Step by Step Solution

1. Step 1: Write the proportion equation
   91,323 : 196,254 = 196,254 : x
2. Step 2: Convert to fraction form
   91,323/196,254 = 196,254/x
3. Step 3: Cross multiply
   91,323x = 196,254 × 196,254
4. Step 4: Simplify right side
   91,323x = 38,515,632,516
5. Step 5: Solve for x
   x = 38,515,632,516/91,323
6. Step 6: Final answer
   x = 421,751.72