Finding the Third Proportional to 59,506 and 130,512

Step by Step Solution

1. Step 1: Write the proportion equation
   59,506 : 130,512 = 130,512 : x
2. Step 2: Convert to fraction form
   59,506/130,512 = 130,512/x
3. Step 3: Cross multiply
   59,506x = 130,512 × 130,512
4. Step 4: Simplify right side
   59,506x = 17,033,382,144
5. Step 5: Solve for x
   x = 17,033,382,144/59,506
6. Step 6: Final answer
   x = 286,246.46