Finding the Third Proportional to 83,538.84 and 197,103.38

Step by Step Solution

1. Step 1: Write the proportion equation
   83,538.84 : 197,103.38 = 197,103.38 : x
2. Step 2: Convert to fraction form
   83,538.84/197,103.38 = 197,103.38/x
3. Step 3: Cross multiply
   83,538.84x = 197,103.38 × 197,103.38
4. Step 4: Simplify right side
   83,538.84x = 38,849,740,436.39
5. Step 5: Solve for x
   x = 38,849,740,436.39/83,538.84
6. Step 6: Final answer
   x = 465,050.01