Finding the Third Proportional to 83,139.75 and 176,205.38

Step by Step Solution

1. Step 1: Write the proportion equation
   83,139.75 : 176,205.38 = 176,205.38 : x
2. Step 2: Convert to fraction form
   83,139.75/176,205.38 = 176,205.38/x
3. Step 3: Cross multiply
   83,139.75x = 176,205.38 × 176,205.38
4. Step 4: Simplify right side
   83,139.75x = 31,048,334,178.89
5. Step 5: Solve for x
   x = 31,048,334,178.89/83,139.75
6. Step 6: Final answer
   x = 373,447.53