Finding the Third Proportional to 284,817 and 442,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   284,817 : 442,777.50 = 442,777.50 : x
2. Step 2: Convert to fraction form
   284,817/442,777.50 = 442,777.50/x
3. Step 3: Cross multiply
   284,817x = 442,777.50 × 442,777.50
4. Step 4: Simplify right side
   284,817x = 196,051,914,506.25
5. Step 5: Solve for x
   x = 196,051,914,506.25/284,817
6. Step 6: Final answer
   x = 688,343.44