Finding the Third Proportional to 277,711.50 and 420,462

Step by Step Solution

1. Step 1: Write the proportion equation
   277,711.50 : 420,462 = 420,462 : x
2. Step 2: Convert to fraction form
   277,711.50/420,462 = 420,462/x
3. Step 3: Cross multiply
   277,711.50x = 420,462 × 420,462
4. Step 4: Simplify right side
   277,711.50x = 176,788,293,444
5. Step 5: Solve for x
   x = 176,788,293,444/277,711.50
6. Step 6: Final answer
   x = 636,589.75