Finding the Third Proportional to 288,084.50 and 382,281

Step by Step Solution

1. Step 1: Write the proportion equation
   288,084.50 : 382,281 = 382,281 : x
2. Step 2: Convert to fraction form
   288,084.50/382,281 = 382,281/x
3. Step 3: Cross multiply
   288,084.50x = 382,281 × 382,281
4. Step 4: Simplify right side
   288,084.50x = 146,138,762,961
5. Step 5: Solve for x
   x = 146,138,762,961/288,084.50
6. Step 6: Final answer
   x = 507,277.42