Finding the Third Proportional to 91,865.50 and 196,853

Step by Step Solution

1. Step 1: Write the proportion equation
   91,865.50 : 196,853 = 196,853 : x
2. Step 2: Convert to fraction form
   91,865.50/196,853 = 196,853/x
3. Step 3: Cross multiply
   91,865.50x = 196,853 × 196,853
4. Step 4: Simplify right side
   91,865.50x = 38,751,103,609
5. Step 5: Solve for x
   x = 38,751,103,609/91,865.50
6. Step 6: Final answer
   x = 421,824.34