Finding the Third Proportional to 78,889 and 173,086

Step by Step Solution

1. Step 1: Write the proportion equation
   78,889 : 173,086 = 173,086 : x
2. Step 2: Convert to fraction form
   78,889/173,086 = 173,086/x
3. Step 3: Cross multiply
   78,889x = 173,086 × 173,086
4. Step 4: Simplify right side
   78,889x = 29,958,763,396
5. Step 5: Solve for x
   x = 29,958,763,396/78,889
6. Step 6: Final answer
   x = 379,758.44