Finding the Third Proportional to 111,164 and 243,409

Step by Step Solution

1. Step 1: Write the proportion equation
   111,164 : 243,409 = 243,409 : x
2. Step 2: Convert to fraction form
   111,164/243,409 = 243,409/x
3. Step 3: Cross multiply
   111,164x = 243,409 × 243,409
4. Step 4: Simplify right side
   111,164x = 59,247,941,281
5. Step 5: Solve for x
   x = 59,247,941,281/111,164
6. Step 6: Final answer
   x = 532,977.77