Finding the Third Proportional to 69,084 and 182,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,084 : 182,839.50 = 182,839.50 : x
2. Step 2: Convert to fraction form
   69,084/182,839.50 = 182,839.50/x
3. Step 3: Cross multiply
   69,084x = 182,839.50 × 182,839.50
4. Step 4: Simplify right side
   69,084x = 33,430,282,760.25
5. Step 5: Solve for x
   x = 33,430,282,760.25/69,084
6. Step 6: Final answer
   x = 483,907.75