Finding the Third Proportional to 56,883 and 123,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,883 : 123,693.50 = 123,693.50 : x
2. Step 2: Convert to fraction form
   56,883/123,693.50 = 123,693.50/x
3. Step 3: Cross multiply
   56,883x = 123,693.50 × 123,693.50
4. Step 4: Simplify right side
   56,883x = 15,300,081,942.25
5. Step 5: Solve for x
   x = 15,300,081,942.25/56,883
6. Step 6: Final answer
   x = 268,974.60