Finding the Third Proportional to 120,377 and 254,184

Step by Step Solution

1. Step 1: Write the proportion equation
   120,377 : 254,184 = 254,184 : x
2. Step 2: Convert to fraction form
   120,377/254,184 = 254,184/x
3. Step 3: Cross multiply
   120,377x = 254,184 × 254,184
4. Step 4: Simplify right side
   120,377x = 64,609,505,856
5. Step 5: Solve for x
   x = 64,609,505,856/120,377
6. Step 6: Final answer
   x = 536,726.33