Finding the Third Proportional to 59,578 and 130,964

Step by Step Solution

1. Step 1: Write the proportion equation
   59,578 : 130,964 = 130,964 : x
2. Step 2: Convert to fraction form
   59,578/130,964 = 130,964/x
3. Step 3: Cross multiply
   59,578x = 130,964 × 130,964
4. Step 4: Simplify right side
   59,578x = 17,151,569,296
5. Step 5: Solve for x
   x = 17,151,569,296/59,578
6. Step 6: Final answer
   x = 287,884.27