Finding the Third Proportional to 53,377.50 and 123,555.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,377.50 : 123,555.50 = 123,555.50 : x
2. Step 2: Convert to fraction form
   53,377.50/123,555.50 = 123,555.50/x
3. Step 3: Cross multiply
   53,377.50x = 123,555.50 × 123,555.50
4. Step 4: Simplify right side
   53,377.50x = 15,265,961,580.25
5. Step 5: Solve for x
   x = 15,265,961,580.25/53,377.50
6. Step 6: Final answer
   x = 285,999.94