Finding the Third Proportional to 85,238 and 179,281

Step by Step Solution

1. Step 1: Write the proportion equation
   85,238 : 179,281 = 179,281 : x
2. Step 2: Convert to fraction form
   85,238/179,281 = 179,281/x
3. Step 3: Cross multiply
   85,238x = 179,281 × 179,281
4. Step 4: Simplify right side
   85,238x = 32,141,676,961
5. Step 5: Solve for x
   x = 32,141,676,961/85,238
6. Step 6: Final answer
   x = 377,081.55