Finding the Third Proportional to 83,168 and 182,928

Step by Step Solution

1. Step 1: Write the proportion equation
   83,168 : 182,928 = 182,928 : x
2. Step 2: Convert to fraction form
   83,168/182,928 = 182,928/x
3. Step 3: Cross multiply
   83,168x = 182,928 × 182,928
4. Step 4: Simplify right side
   83,168x = 33,462,653,184
5. Step 5: Solve for x
   x = 33,462,653,184/83,168
6. Step 6: Final answer
   x = 402,350.10