Finding the Third Proportional to 53,468.25 and 117,142.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,468.25 : 117,142.50 = 117,142.50 : x
2. Step 2: Convert to fraction form
   53,468.25/117,142.50 = 117,142.50/x
3. Step 3: Cross multiply
   53,468.25x = 117,142.50 × 117,142.50
4. Step 4: Simplify right side
   53,468.25x = 13,722,365,306.25
5. Step 5: Solve for x
   x = 13,722,365,306.25/53,468.25
6. Step 6: Final answer
   x = 256,645.12