Finding the Third Proportional to 55,406 and 122,476.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,406 : 122,476.50 = 122,476.50 : x
2. Step 2: Convert to fraction form
   55,406/122,476.50 = 122,476.50/x
3. Step 3: Cross multiply
   55,406x = 122,476.50 × 122,476.50
4. Step 4: Simplify right side
   55,406x = 15,000,493,052.25
5. Step 5: Solve for x
   x = 15,000,493,052.25/55,406
6. Step 6: Final answer
   x = 270,737.70