Finding the Third Proportional to 59,730 and 130,537.50

Step by Step Solution

1. Step 1: Write the proportion equation
   59,730 : 130,537.50 = 130,537.50 : x
2. Step 2: Convert to fraction form
   59,730/130,537.50 = 130,537.50/x
3. Step 3: Cross multiply
   59,730x = 130,537.50 × 130,537.50
4. Step 4: Simplify right side
   59,730x = 17,040,038,906.25
5. Step 5: Solve for x
   x = 17,040,038,906.25/59,730
6. Step 6: Final answer
   x = 285,284.43