Finding the Third Proportional to 284,493 and 427,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   284,493 : 427,495.50 = 427,495.50 : x
2. Step 2: Convert to fraction form
   284,493/427,495.50 = 427,495.50/x
3. Step 3: Cross multiply
   284,493x = 427,495.50 × 427,495.50
4. Step 4: Simplify right side
   284,493x = 182,752,402,520.25
5. Step 5: Solve for x
   x = 182,752,402,520.25/284,493
6. Step 6: Final answer
   x = 642,379.26