Finding the Third Proportional to 59,546 and 130,996

Step by Step Solution

1. Step 1: Write the proportion equation
   59,546 : 130,996 = 130,996 : x
2. Step 2: Convert to fraction form
   59,546/130,996 = 130,996/x
3. Step 3: Cross multiply
   59,546x = 130,996 × 130,996
4. Step 4: Simplify right side
   59,546x = 17,159,952,016
5. Step 5: Solve for x
   x = 17,159,952,016/59,546
6. Step 6: Final answer
   x = 288,179.76