Finding the Third Proportional to 109,739 and 164,140

Step by Step Solution

1. Step 1: Write the proportion equation
   109,739 : 164,140 = 164,140 : x
2. Step 2: Convert to fraction form
   109,739/164,140 = 164,140/x
3. Step 3: Cross multiply
   109,739x = 164,140 × 164,140
4. Step 4: Simplify right side
   109,739x = 26,941,939,600
5. Step 5: Solve for x
   x = 26,941,939,600/109,739
6. Step 6: Final answer
   x = 245,509.25