Finding the Third Proportional to 53,362.50 and 123,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,362.50 : 123,538.50 = 123,538.50 : x
2. Step 2: Convert to fraction form
   53,362.50/123,538.50 = 123,538.50/x
3. Step 3: Cross multiply
   53,362.50x = 123,538.50 × 123,538.50
4. Step 4: Simplify right side
   53,362.50x = 15,261,760,982.25
5. Step 5: Solve for x
   x = 15,261,760,982.25/53,362.50
6. Step 6: Final answer
   x = 286,001.61