Finding the Third Proportional to 56,197 and 123,126

Step by Step Solution

1. Step 1: Write the proportion equation
   56,197 : 123,126 = 123,126 : x
2. Step 2: Convert to fraction form
   56,197/123,126 = 123,126/x
3. Step 3: Cross multiply
   56,197x = 123,126 × 123,126
4. Step 4: Simplify right side
   56,197x = 15,160,011,876
5. Step 5: Solve for x
   x = 15,160,011,876/56,197
6. Step 6: Final answer
   x = 269,765.50