Finding the Third Proportional to 58,536 and 128,452.50

Step by Step Solution

1. Step 1: Write the proportion equation
   58,536 : 128,452.50 = 128,452.50 : x
2. Step 2: Convert to fraction form
   58,536/128,452.50 = 128,452.50/x
3. Step 3: Cross multiply
   58,536x = 128,452.50 × 128,452.50
4. Step 4: Simplify right side
   58,536x = 16,500,044,756.25
5. Step 5: Solve for x
   x = 16,500,044,756.25/58,536
6. Step 6: Final answer
   x = 281,878.58