Finding the Third Proportional to 114,804 and 172,322

Step by Step Solution

1. Step 1: Write the proportion equation
   114,804 : 172,322 = 172,322 : x
2. Step 2: Convert to fraction form
   114,804/172,322 = 172,322/x
3. Step 3: Cross multiply
   114,804x = 172,322 × 172,322
4. Step 4: Simplify right side
   114,804x = 29,694,871,684
5. Step 5: Solve for x
   x = 29,694,871,684/114,804
6. Step 6: Final answer
   x = 258,657.12