Finding the Third Proportional to 53,976.38 and 118,138.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,976.38 : 118,138.50 = 118,138.50 : x
2. Step 2: Convert to fraction form
   53,976.38/118,138.50 = 118,138.50/x
3. Step 3: Cross multiply
   53,976.38x = 118,138.50 × 118,138.50
4. Step 4: Simplify right side
   53,976.38x = 13,956,705,182.25
5. Step 5: Solve for x
   x = 13,956,705,182.25/53,976.38
6. Step 6: Final answer
   x = 258,570.63