Finding the Third Proportional to 114,413 and 248,509.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,413 : 248,509.50 = 248,509.50 : x
2. Step 2: Convert to fraction form
   114,413/248,509.50 = 248,509.50/x
3. Step 3: Cross multiply
   114,413x = 248,509.50 × 248,509.50
4. Step 4: Simplify right side
   114,413x = 61,756,971,590.25
5. Step 5: Solve for x
   x = 61,756,971,590.25/114,413
6. Step 6: Final answer
   x = 539,772.33