Finding the Third Proportional to 62,560 and 130,297.50

Step by Step Solution

1. Step 1: Write the proportion equation
   62,560 : 130,297.50 = 130,297.50 : x
2. Step 2: Convert to fraction form
   62,560/130,297.50 = 130,297.50/x
3. Step 3: Cross multiply
   62,560x = 130,297.50 × 130,297.50
4. Step 4: Simplify right side
   62,560x = 16,977,438,506.25
5. Step 5: Solve for x
   x = 16,977,438,506.25/62,560
6. Step 6: Final answer
   x = 271,378.49