Finding the Third Proportional to 282,984 and 427,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   282,984 : 427,123.50 = 427,123.50 : x
2. Step 2: Convert to fraction form
   282,984/427,123.50 = 427,123.50/x
3. Step 3: Cross multiply
   282,984x = 427,123.50 × 427,123.50
4. Step 4: Simplify right side
   282,984x = 182,434,484,252.25
5. Step 5: Solve for x
   x = 182,434,484,252.25/282,984
6. Step 6: Final answer
   x = 644,681.27