Finding the Third Proportional to 78,282 and 171,333

Step by Step Solution

1. Step 1: Write the proportion equation
   78,282 : 171,333 = 171,333 : x
2. Step 2: Convert to fraction form
   78,282/171,333 = 171,333/x
3. Step 3: Cross multiply
   78,282x = 171,333 × 171,333
4. Step 4: Simplify right side
   78,282x = 29,354,996,889
5. Step 5: Solve for x
   x = 29,354,996,889/78,282
6. Step 6: Final answer
   x = 374,990.38