Finding the Third Proportional to 55,412.50 and 117,747.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,412.50 : 117,747.50 = 117,747.50 : x
2. Step 2: Convert to fraction form
   55,412.50/117,747.50 = 117,747.50/x
3. Step 3: Cross multiply
   55,412.50x = 117,747.50 × 117,747.50
4. Step 4: Simplify right side
   55,412.50x = 13,864,473,756.25
5. Step 5: Solve for x
   x = 13,864,473,756.25/55,412.50
6. Step 6: Final answer
   x = 250,204.80