Finding the Third Proportional to 59,582 and 130,972

Step by Step Solution

1. Step 1: Write the proportion equation
   59,582 : 130,972 = 130,972 : x
2. Step 2: Convert to fraction form
   59,582/130,972 = 130,972/x
3. Step 3: Cross multiply
   59,582x = 130,972 × 130,972
4. Step 4: Simplify right side
   59,582x = 17,153,664,784
5. Step 5: Solve for x
   x = 17,153,664,784/59,582
6. Step 6: Final answer
   x = 287,900.12