Finding the Third Proportional to 284,334 and 427,654.50

Step by Step Solution

1. Step 1: Write the proportion equation
   284,334 : 427,654.50 = 427,654.50 : x
2. Step 2: Convert to fraction form
   284,334/427,654.50 = 427,654.50/x
3. Step 3: Cross multiply
   284,334x = 427,654.50 × 427,654.50
4. Step 4: Simplify right side
   284,334x = 182,888,371,370.25
5. Step 5: Solve for x
   x = 182,888,371,370.25/284,334
6. Step 6: Final answer
   x = 643,216.68