Finding the Third Proportional to 59,184 and 130,032

Step by Step Solution

1. Step 1: Write the proportion equation
   59,184 : 130,032 = 130,032 : x
2. Step 2: Convert to fraction form
   59,184/130,032 = 130,032/x
3. Step 3: Cross multiply
   59,184x = 130,032 × 130,032
4. Step 4: Simplify right side
   59,184x = 16,908,321,024
5. Step 5: Solve for x
   x = 16,908,321,024/59,184
6. Step 6: Final answer
   x = 285,690.74