Finding the Third Proportional to 59,678 and 131,775

Step by Step Solution

1. Step 1: Write the proportion equation
   59,678 : 131,775 = 131,775 : x
2. Step 2: Convert to fraction form
   59,678/131,775 = 131,775/x
3. Step 3: Cross multiply
   59,678x = 131,775 × 131,775
4. Step 4: Simplify right side
   59,678x = 17,364,650,625
5. Step 5: Solve for x
   x = 17,364,650,625/59,678
6. Step 6: Final answer
   x = 290,972.40