Finding the Third Proportional to 88,006 and 205,354

Step by Step Solution

1. Step 1: Write the proportion equation
   88,006 : 205,354 = 205,354 : x
2. Step 2: Convert to fraction form
   88,006/205,354 = 205,354/x
3. Step 3: Cross multiply
   88,006x = 205,354 × 205,354
4. Step 4: Simplify right side
   88,006x = 42,170,265,316
5. Step 5: Solve for x
   x = 42,170,265,316/88,006
6. Step 6: Final answer
   x = 479,174.89