Finding the Third Proportional to 53,589.38 and 117,688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,589.38 : 117,688.50 = 117,688.50 : x
2. Step 2: Convert to fraction form
   53,589.38/117,688.50 = 117,688.50/x
3. Step 3: Cross multiply
   53,589.38x = 117,688.50 × 117,688.50
4. Step 4: Simplify right side
   53,589.38x = 13,850,583,032.25
5. Step 5: Solve for x
   x = 13,850,583,032.25/53,589.38
6. Step 6: Final answer
   x = 258,457.63