Finding the Third Proportional to 78,458.50 and 172,752

Step by Step Solution

1. Step 1: Write the proportion equation
   78,458.50 : 172,752 = 172,752 : x
2. Step 2: Convert to fraction form
   78,458.50/172,752 = 172,752/x
3. Step 3: Cross multiply
   78,458.50x = 172,752 × 172,752
4. Step 4: Simplify right side
   78,458.50x = 29,843,253,504
5. Step 5: Solve for x
   x = 29,843,253,504/78,458.50
6. Step 6: Final answer
   x = 380,369.92