Finding the Third Proportional to 120,411 and 185,145

Step by Step Solution

1. Step 1: Write the proportion equation
   120,411 : 185,145 = 185,145 : x
2. Step 2: Convert to fraction form
   120,411/185,145 = 185,145/x
3. Step 3: Cross multiply
   120,411x = 185,145 × 185,145
4. Step 4: Simplify right side
   120,411x = 34,278,671,025
5. Step 5: Solve for x
   x = 34,278,671,025/120,411
6. Step 6: Final answer
   x = 284,680.56