Finding the Third Proportional to 109,428 and 164,250

Step by Step Solution

1. Step 1: Write the proportion equation
   109,428 : 164,250 = 164,250 : x
2. Step 2: Convert to fraction form
   109,428/164,250 = 164,250/x
3. Step 3: Cross multiply
   109,428x = 164,250 × 164,250
4. Step 4: Simplify right side
   109,428x = 26,978,062,500
5. Step 5: Solve for x
   x = 26,978,062,500/109,428
6. Step 6: Final answer
   x = 246,537.11