Finding the Third Proportional to 109,657 and 164,045

Step by Step Solution

1. Step 1: Write the proportion equation
   109,657 : 164,045 = 164,045 : x
2. Step 2: Convert to fraction form
   109,657/164,045 = 164,045/x
3. Step 3: Cross multiply
   109,657x = 164,045 × 164,045
4. Step 4: Simplify right side
   109,657x = 26,910,762,025
5. Step 5: Solve for x
   x = 26,910,762,025/109,657
6. Step 6: Final answer
   x = 245,408.52