Finding the Third Proportional to 109,746 and 169,174

Step by Step Solution

1. Step 1: Write the proportion equation
   109,746 : 169,174 = 169,174 : x
2. Step 2: Convert to fraction form
   109,746/169,174 = 169,174/x
3. Step 3: Cross multiply
   109,746x = 169,174 × 169,174
4. Step 4: Simplify right side
   109,746x = 28,619,842,276
5. Step 5: Solve for x
   x = 28,619,842,276/109,746
6. Step 6: Final answer
   x = 260,782.55