Finding the Third Proportional to 109,106 and 169,334

Step by Step Solution

1. Step 1: Write the proportion equation
   109,106 : 169,334 = 169,334 : x
2. Step 2: Convert to fraction form
   109,106/169,334 = 169,334/x
3. Step 3: Cross multiply
   109,106x = 169,334 × 169,334
4. Step 4: Simplify right side
   109,106x = 28,674,003,556
5. Step 5: Solve for x
   x = 28,674,003,556/109,106
6. Step 6: Final answer
   x = 262,808.68