Finding the Third Proportional to 53,812.78 and 117,460.78

Step by Step Solution

1. Step 1: Write the proportion equation
   53,812.78 : 117,460.78 = 117,460.78 : x
2. Step 2: Convert to fraction form
   53,812.78/117,460.78 = 117,460.78/x
3. Step 3: Cross multiply
   53,812.78x = 117,460.78 × 117,460.78
4. Step 4: Simplify right side
   53,812.78x = 13,797,035,131.86
5. Step 5: Solve for x
   x = 13,797,035,131.86/53,812.78
6. Step 6: Final answer
   x = 256,389.56