Finding the Third Proportional to 83,032 and 179,192

Step by Step Solution

1. Step 1: Write the proportion equation
   83,032 : 179,192 = 179,192 : x
2. Step 2: Convert to fraction form
   83,032/179,192 = 179,192/x
3. Step 3: Cross multiply
   83,032x = 179,192 × 179,192
4. Step 4: Simplify right side
   83,032x = 32,109,772,864
5. Step 5: Solve for x
   x = 32,109,772,864/83,032
6. Step 6: Final answer
   x = 386,715.64