Finding the Third Proportional to 56,943 and 123,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,943 : 123,727.50 = 123,727.50 : x
2. Step 2: Convert to fraction form
   56,943/123,727.50 = 123,727.50/x
3. Step 3: Cross multiply
   56,943x = 123,727.50 × 123,727.50
4. Step 4: Simplify right side
   56,943x = 15,308,494,256.25
5. Step 5: Solve for x
   x = 15,308,494,256.25/56,943
6. Step 6: Final answer
   x = 268,838.91