Finding the Third Proportional to 117,553 and 171,406

Step by Step Solution

1. Step 1: Write the proportion equation
   117,553 : 171,406 = 171,406 : x
2. Step 2: Convert to fraction form
   117,553/171,406 = 171,406/x
3. Step 3: Cross multiply
   117,553x = 171,406 × 171,406
4. Step 4: Simplify right side
   117,553x = 29,380,016,836
5. Step 5: Solve for x
   x = 29,380,016,836/117,553
6. Step 6: Final answer
   x = 249,929.96