Finding the Third Proportional to 338,250 and 535,200

Step by Step Solution

1. Step 1: Write the proportion equation
   338,250 : 535,200 = 535,200 : x
2. Step 2: Convert to fraction form
   338,250/535,200 = 535,200/x
3. Step 3: Cross multiply
   338,250x = 535,200 × 535,200
4. Step 4: Simplify right side
   338,250x = 286,439,040,000
5. Step 5: Solve for x
   x = 286,439,040,000/338,250
6. Step 6: Final answer
   x = 846,826.43