Finding the Third Proportional to 78,888 and 171,600

Step by Step Solution

1. Step 1: Write the proportion equation
   78,888 : 171,600 = 171,600 : x
2. Step 2: Convert to fraction form
   78,888/171,600 = 171,600/x
3. Step 3: Cross multiply
   78,888x = 171,600 × 171,600
4. Step 4: Simplify right side
   78,888x = 29,446,560,000
5. Step 5: Solve for x
   x = 29,446,560,000/78,888
6. Step 6: Final answer
   x = 373,270.46