Finding the Third Proportional to 85,194 and 175,851

Step by Step Solution

1. Step 1: Write the proportion equation
   85,194 : 175,851 = 175,851 : x
2. Step 2: Convert to fraction form
   85,194/175,851 = 175,851/x
3. Step 3: Cross multiply
   85,194x = 175,851 × 175,851
4. Step 4: Simplify right side
   85,194x = 30,923,574,201
5. Step 5: Solve for x
   x = 30,923,574,201/85,194
6. Step 6: Final answer
   x = 362,978.31