Finding the Third Proportional to 85,992 and 178,060

Step by Step Solution

1. Step 1: Write the proportion equation
   85,992 : 178,060 = 178,060 : x
2. Step 2: Convert to fraction form
   85,992/178,060 = 178,060/x
3. Step 3: Cross multiply
   85,992x = 178,060 × 178,060
4. Step 4: Simplify right side
   85,992x = 31,705,363,600
5. Step 5: Solve for x
   x = 31,705,363,600/85,992
6. Step 6: Final answer
   x = 368,701.32