Finding the Third Proportional to 56,834 and 123,496.50

Step by Step Solution

1. Step 1: Write the proportion equation
   56,834 : 123,496.50 = 123,496.50 : x
2. Step 2: Convert to fraction form
   56,834/123,496.50 = 123,496.50/x
3. Step 3: Cross multiply
   56,834x = 123,496.50 × 123,496.50
4. Step 4: Simplify right side
   56,834x = 15,251,385,512.25
5. Step 5: Solve for x
   x = 15,251,385,512.25/56,834
6. Step 6: Final answer
   x = 268,349.68