Finding the Third Proportional to 146,835 and 282,001.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,835 : 282,001.50 = 282,001.50 : x
2. Step 2: Convert to fraction form
   146,835/282,001.50 = 282,001.50/x
3. Step 3: Cross multiply
   146,835x = 282,001.50 × 282,001.50
4. Step 4: Simplify right side
   146,835x = 79,524,846,002.25
5. Step 5: Solve for x
   x = 79,524,846,002.25/146,835
6. Step 6: Final answer
   x = 541,593.26