Finding the Third Proportional to 53,355 and 123,505.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,355 : 123,505.50 = 123,505.50 : x
2. Step 2: Convert to fraction form
   53,355/123,505.50 = 123,505.50/x
3. Step 3: Cross multiply
   53,355x = 123,505.50 × 123,505.50
4. Step 4: Simplify right side
   53,355x = 15,253,608,530.25
5. Step 5: Solve for x
   x = 15,253,608,530.25/53,355
6. Step 6: Final answer
   x = 285,889.02