Finding the Third Proportional to 88,176 and 133,404

Step by Step Solution

1. Step 1: Write the proportion equation
   88,176 : 133,404 = 133,404 : x
2. Step 2: Convert to fraction form
   88,176/133,404 = 133,404/x
3. Step 3: Cross multiply
   88,176x = 133,404 × 133,404
4. Step 4: Simplify right side
   88,176x = 17,796,627,216
5. Step 5: Solve for x
   x = 17,796,627,216/88,176
6. Step 6: Final answer
   x = 201,830.74