Finding the Third Proportional to 53,588.25 and 118,109.25

Step by Step Solution

1. Step 1: Write the proportion equation
   53,588.25 : 118,109.25 = 118,109.25 : x
2. Step 2: Convert to fraction form
   53,588.25/118,109.25 = 118,109.25/x
3. Step 3: Cross multiply
   53,588.25x = 118,109.25 × 118,109.25
4. Step 4: Simplify right side
   53,588.25x = 13,949,794,935.56
5. Step 5: Solve for x
   x = 13,949,794,935.56/53,588.25
6. Step 6: Final answer
   x = 260,314.43