Finding the Third Proportional to 53,707.50 and 118,533

Step by Step Solution

1. Step 1: Write the proportion equation
   53,707.50 : 118,533 = 118,533 : x
2. Step 2: Convert to fraction form
   53,707.50/118,533 = 118,533/x
3. Step 3: Cross multiply
   53,707.50x = 118,533 × 118,533
4. Step 4: Simplify right side
   53,707.50x = 14,050,072,089
5. Step 5: Solve for x
   x = 14,050,072,089/53,707.50
6. Step 6: Final answer
   x = 261,603.54