Finding the Third Proportional to 181,294 and 388,820

Step by Step Solution

1. Step 1: Write the proportion equation
   181,294 : 388,820 = 388,820 : x
2. Step 2: Convert to fraction form
   181,294/388,820 = 388,820/x
3. Step 3: Cross multiply
   181,294x = 388,820 × 388,820
4. Step 4: Simplify right side
   181,294x = 151,180,992,400
5. Step 5: Solve for x
   x = 151,180,992,400/181,294
6. Step 6: Final answer
   x = 833,899.59