Finding the Third Proportional to 106,567 and 233,200

Step by Step Solution

1. Step 1: Write the proportion equation
   106,567 : 233,200 = 233,200 : x
2. Step 2: Convert to fraction form
   106,567/233,200 = 233,200/x
3. Step 3: Cross multiply
   106,567x = 233,200 × 233,200
4. Step 4: Simplify right side
   106,567x = 54,382,240,000
5. Step 5: Solve for x
   x = 54,382,240,000/106,567
6. Step 6: Final answer
   x = 510,310.32