Finding the Third Proportional to 111,117 and 169,409

Step by Step Solution

1. Step 1: Write the proportion equation
   111,117 : 169,409 = 169,409 : x
2. Step 2: Convert to fraction form
   111,117/169,409 = 169,409/x
3. Step 3: Cross multiply
   111,117x = 169,409 × 169,409
4. Step 4: Simplify right side
   111,117x = 28,699,409,281
5. Step 5: Solve for x
   x = 28,699,409,281/111,117
6. Step 6: Final answer
   x = 258,280.99