Finding the Third Proportional to 61,621 and 126,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,621 : 126,162.50 = 126,162.50 : x
2. Step 2: Convert to fraction form
   61,621/126,162.50 = 126,162.50/x
3. Step 3: Cross multiply
   61,621x = 126,162.50 × 126,162.50
4. Step 4: Simplify right side
   61,621x = 15,916,976,406.25
5. Step 5: Solve for x
   x = 15,916,976,406.25/61,621
6. Step 6: Final answer
   x = 258,304.42