Finding the Third Proportional to 284,916 and 442,914.50

Step by Step Solution

1. Step 1: Write the proportion equation
   284,916 : 442,914.50 = 442,914.50 : x
2. Step 2: Convert to fraction form
   284,916/442,914.50 = 442,914.50/x
3. Step 3: Cross multiply
   284,916x = 442,914.50 × 442,914.50
4. Step 4: Simplify right side
   284,916x = 196,173,254,310.25
5. Step 5: Solve for x
   x = 196,173,254,310.25/284,916
6. Step 6: Final answer
   x = 688,530.14