Finding the Third Proportional to 91,863 and 196,849.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,863 : 196,849.50 = 196,849.50 : x
2. Step 2: Convert to fraction form
   91,863/196,849.50 = 196,849.50/x
3. Step 3: Cross multiply
   91,863x = 196,849.50 × 196,849.50
4. Step 4: Simplify right side
   91,863x = 38,749,725,650.25
5. Step 5: Solve for x
   x = 38,749,725,650.25/91,863
6. Step 6: Final answer
   x = 421,820.82