Finding the Third Proportional to 88,032 and 171,654

Step by Step Solution

1. Step 1: Write the proportion equation
   88,032 : 171,654 = 171,654 : x
2. Step 2: Convert to fraction form
   88,032/171,654 = 171,654/x
3. Step 3: Cross multiply
   88,032x = 171,654 × 171,654
4. Step 4: Simplify right side
   88,032x = 29,465,095,716
5. Step 5: Solve for x
   x = 29,465,095,716/88,032
6. Step 6: Final answer
   x = 334,708.92