Finding the Third Proportional to 146,826 and 281,983.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,826 : 281,983.50 = 281,983.50 : x
2. Step 2: Convert to fraction form
   146,826/281,983.50 = 281,983.50/x
3. Step 3: Cross multiply
   146,826x = 281,983.50 × 281,983.50
4. Step 4: Simplify right side
   146,826x = 79,514,694,272.25
5. Step 5: Solve for x
   x = 79,514,694,272.25/146,826
6. Step 6: Final answer
   x = 541,557.31