Finding the Third Proportional to 53,718 and 117,064.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,718 : 117,064.50 = 117,064.50 : x
2. Step 2: Convert to fraction form
   53,718/117,064.50 = 117,064.50/x
3. Step 3: Cross multiply
   53,718x = 117,064.50 × 117,064.50
4. Step 4: Simplify right side
   53,718x = 13,704,097,160.25
5. Step 5: Solve for x
   x = 13,704,097,160.25/53,718
6. Step 6: Final answer
   x = 255,111.83