Finding the Third Proportional to 78,760.69 and 172,830.38

Step by Step Solution

1. Step 1: Write the proportion equation
   78,760.69 : 172,830.38 = 172,830.38 : x
2. Step 2: Convert to fraction form
   78,760.69/172,830.38 = 172,830.38/x
3. Step 3: Cross multiply
   78,760.69x = 172,830.38 × 172,830.38
4. Step 4: Simplify right side
   78,760.69x = 29,870,338,522.64
5. Step 5: Solve for x
   x = 29,870,338,522.64/78,760.69
6. Step 6: Final answer
   x = 379,254.42