Finding the Third Proportional to 61,626 and 126,172.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,626 : 126,172.50 = 126,172.50 : x
2. Step 2: Convert to fraction form
   61,626/126,172.50 = 126,172.50/x
3. Step 3: Cross multiply
   61,626x = 126,172.50 × 126,172.50
4. Step 4: Simplify right side
   61,626x = 15,919,499,756.25
5. Step 5: Solve for x
   x = 15,919,499,756.25/61,626
6. Step 6: Final answer
   x = 258,324.40