Finding the Third Proportional to 85,161 and 175,789

Step by Step Solution

1. Step 1: Write the proportion equation
   85,161 : 175,789 = 175,789 : x
2. Step 2: Convert to fraction form
   85,161/175,789 = 175,789/x
3. Step 3: Cross multiply
   85,161x = 175,789 × 175,789
4. Step 4: Simplify right side
   85,161x = 30,901,772,521
5. Step 5: Solve for x
   x = 30,901,772,521/85,161
6. Step 6: Final answer
   x = 362,862.96