Finding the Third Proportional to 282,042 and 423,123.75

Step by Step Solution

1. Step 1: Write the proportion equation
   282,042 : 423,123.75 = 423,123.75 : x
2. Step 2: Convert to fraction form
   282,042/423,123.75 = 423,123.75/x
3. Step 3: Cross multiply
   282,042x = 423,123.75 × 423,123.75
4. Step 4: Simplify right side
   282,042x = 179,033,707,814.06
5. Step 5: Solve for x
   x = 179,033,707,814.06/282,042
6. Step 6: Final answer
   x = 634,776.76