Finding the Third Proportional to 83,465.63 and 196,833.38

Step by Step Solution

1. Step 1: Write the proportion equation
   83,465.63 : 196,833.38 = 196,833.38 : x
2. Step 2: Convert to fraction form
   83,465.63/196,833.38 = 196,833.38/x
3. Step 3: Cross multiply
   83,465.63x = 196,833.38 × 196,833.38
4. Step 4: Simplify right side
   83,465.63x = 38,743,377,513.89
5. Step 5: Solve for x
   x = 38,743,377,513.89/83,465.63
6. Step 6: Final answer
   x = 464,183.64