Finding the Third Proportional to 83,276 and 173,032

Step by Step Solution

1. Step 1: Write the proportion equation
   83,276 : 173,032 = 173,032 : x
2. Step 2: Convert to fraction form
   83,276/173,032 = 173,032/x
3. Step 3: Cross multiply
   83,276x = 173,032 × 173,032
4. Step 4: Simplify right side
   83,276x = 29,940,073,024
5. Step 5: Solve for x
   x = 29,940,073,024/83,276
6. Step 6: Final answer
   x = 359,528.23