Finding the Third Proportional to 58,685 and 128,123

Step by Step Solution

1. Step 1: Write the proportion equation
   58,685 : 128,123 = 128,123 : x
2. Step 2: Convert to fraction form
   58,685/128,123 = 128,123/x
3. Step 3: Cross multiply
   58,685x = 128,123 × 128,123
4. Step 4: Simplify right side
   58,685x = 16,415,503,129
5. Step 5: Solve for x
   x = 16,415,503,129/58,685
6. Step 6: Final answer
   x = 279,722.30