Finding the Third Proportional to 120,123 and 262,035

Step by Step Solution

1. Step 1: Write the proportion equation
   120,123 : 262,035 = 262,035 : x
2. Step 2: Convert to fraction form
   120,123/262,035 = 262,035/x
3. Step 3: Cross multiply
   120,123x = 262,035 × 262,035
4. Step 4: Simplify right side
   120,123x = 68,662,341,225
5. Step 5: Solve for x
   x = 68,662,341,225/120,123
6. Step 6: Final answer
   x = 571,600.29