Finding the Third Proportional to 59,782 and 131,174

Step by Step Solution

1. Step 1: Write the proportion equation
   59,782 : 131,174 = 131,174 : x
2. Step 2: Convert to fraction form
   59,782/131,174 = 131,174/x
3. Step 3: Cross multiply
   59,782x = 131,174 × 131,174
4. Step 4: Simplify right side
   59,782x = 17,206,618,276
5. Step 5: Solve for x
   x = 17,206,618,276/59,782
6. Step 6: Final answer
   x = 287,822.73