Finding the Third Proportional to 83,820 and 180,768

Step by Step Solution

1. Step 1: Write the proportion equation
   83,820 : 180,768 = 180,768 : x
2. Step 2: Convert to fraction form
   83,820/180,768 = 180,768/x
3. Step 3: Cross multiply
   83,820x = 180,768 × 180,768
4. Step 4: Simplify right side
   83,820x = 32,677,069,824
5. Step 5: Solve for x
   x = 32,677,069,824/83,820
6. Step 6: Final answer
   x = 389,848.12