Finding the Third Proportional to 123,752.75 and 193,020.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,752.75 : 193,020.50 = 193,020.50 : x
2. Step 2: Convert to fraction form
   123,752.75/193,020.50 = 193,020.50/x
3. Step 3: Cross multiply
   123,752.75x = 193,020.50 × 193,020.50
4. Step 4: Simplify right side
   123,752.75x = 37,256,913,420.25
5. Step 5: Solve for x
   x = 37,256,913,420.25/123,752.75
6. Step 6: Final answer
   x = 301,059.28