Finding the Third Proportional to 174,992 and 382,060

Step by Step Solution

1. Step 1: Write the proportion equation
   174,992 : 382,060 = 382,060 : x
2. Step 2: Convert to fraction form
   174,992/382,060 = 382,060/x
3. Step 3: Cross multiply
   174,992x = 382,060 × 382,060
4. Step 4: Simplify right side
   174,992x = 145,969,843,600
5. Step 5: Solve for x
   x = 145,969,843,600/174,992
6. Step 6: Final answer
   x = 834,151.52