Finding the Third Proportional to 301,077 and 412,843.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,077 : 412,843.50 = 412,843.50 : x
2. Step 2: Convert to fraction form
   301,077/412,843.50 = 412,843.50/x
3. Step 3: Cross multiply
   301,077x = 412,843.50 × 412,843.50
4. Step 4: Simplify right side
   301,077x = 170,439,755,492.25
5. Step 5: Solve for x
   x = 170,439,755,492.25/301,077
6. Step 6: Final answer
   x = 566,100.22