Finding the Third Proportional to 78,912 and 171,752

Step by Step Solution

1. Step 1: Write the proportion equation
   78,912 : 171,752 = 171,752 : x
2. Step 2: Convert to fraction form
   78,912/171,752 = 171,752/x
3. Step 3: Cross multiply
   78,912x = 171,752 × 171,752
4. Step 4: Simplify right side
   78,912x = 29,498,749,504
5. Step 5: Solve for x
   x = 29,498,749,504/78,912
6. Step 6: Final answer
   x = 373,818.30