Finding the Third Proportional to 116,654 and 172,521

Step by Step Solution

1. Step 1: Write the proportion equation
   116,654 : 172,521 = 172,521 : x
2. Step 2: Convert to fraction form
   116,654/172,521 = 172,521/x
3. Step 3: Cross multiply
   116,654x = 172,521 × 172,521
4. Step 4: Simplify right side
   116,654x = 29,763,495,441
5. Step 5: Solve for x
   x = 29,763,495,441/116,654
6. Step 6: Final answer
   x = 255,143.38