Finding the Third Proportional to 111,819 and 169,506

Step by Step Solution

1. Step 1: Write the proportion equation
   111,819 : 169,506 = 169,506 : x
2. Step 2: Convert to fraction form
   111,819/169,506 = 169,506/x
3. Step 3: Cross multiply
   111,819x = 169,506 × 169,506
4. Step 4: Simplify right side
   111,819x = 28,732,284,036
5. Step 5: Solve for x
   x = 28,732,284,036/111,819
6. Step 6: Final answer
   x = 256,953.51