Finding the Third Proportional to 88,256 and 133,200

Step by Step Solution

1. Step 1: Write the proportion equation
   88,256 : 133,200 = 133,200 : x
2. Step 2: Convert to fraction form
   88,256/133,200 = 133,200/x
3. Step 3: Cross multiply
   88,256x = 133,200 × 133,200
4. Step 4: Simplify right side
   88,256x = 17,742,240,000
5. Step 5: Solve for x
   x = 17,742,240,000/88,256
6. Step 6: Final answer
   x = 201,031.54