Finding the Third Proportional to 212,200 and 288,362

Step by Step Solution

1. Step 1: Write the proportion equation
   212,200 : 288,362 = 288,362 : x
2. Step 2: Convert to fraction form
   212,200/288,362 = 288,362/x
3. Step 3: Cross multiply
   212,200x = 288,362 × 288,362
4. Step 4: Simplify right side
   212,200x = 83,152,643,044
5. Step 5: Solve for x
   x = 83,152,643,044/212,200
6. Step 6: Final answer
   x = 391,859.77