Finding the Third Proportional to 83,473.88 and 196,849.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,473.88 : 196,849.50 = 196,849.50 : x
2. Step 2: Convert to fraction form
   83,473.88/196,849.50 = 196,849.50/x
3. Step 3: Cross multiply
   83,473.88x = 196,849.50 × 196,849.50
4. Step 4: Simplify right side
   83,473.88x = 38,749,725,650.25
5. Step 5: Solve for x
   x = 38,749,725,650.25/83,473.88
6. Step 6: Final answer
   x = 464,213.81