Finding the Third Proportional to 243,678 and 378,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   243,678 : 378,766.50 = 378,766.50 : x
2. Step 2: Convert to fraction form
   243,678/378,766.50 = 378,766.50/x
3. Step 3: Cross multiply
   243,678x = 378,766.50 × 378,766.50
4. Step 4: Simplify right side
   243,678x = 143,464,061,522.25
5. Step 5: Solve for x
   x = 143,464,061,522.25/243,678
6. Step 6: Final answer
   x = 588,744.41