Finding the Third Proportional to 83,472.47 and 196,846.73

Step by Step Solution

1. Step 1: Write the proportion equation
   83,472.47 : 196,846.73 = 196,846.73 : x
2. Step 2: Convert to fraction form
   83,472.47/196,846.73 = 196,846.73/x
3. Step 3: Cross multiply
   83,472.47x = 196,846.73 × 196,846.73
4. Step 4: Simplify right side
   83,472.47x = 38,748,636,834.10
5. Step 5: Solve for x
   x = 38,748,636,834.10/83,472.47
6. Step 6: Final answer
   x = 464,208.59