Finding the Third Proportional to 61,749 and 126,410.63

Step by Step Solution

1. Step 1: Write the proportion equation
   61,749 : 126,410.63 = 126,410.63 : x
2. Step 2: Convert to fraction form
   61,749/126,410.63 = 126,410.63/x
3. Step 3: Cross multiply
   61,749x = 126,410.63 × 126,410.63
4. Step 4: Simplify right side
   61,749x = 15,979,646,112.89
5. Step 5: Solve for x
   x = 15,979,646,112.89/61,749
6. Step 6: Final answer
   x = 258,783.88