Finding the Third Proportional to 53,200 and 83,456

Step by Step Solution

1. Step 1: Write the proportion equation
   53,200 : 83,456 = 83,456 : x
2. Step 2: Convert to fraction form
   53,200/83,456 = 83,456/x
3. Step 3: Cross multiply
   53,200x = 83,456 × 83,456
4. Step 4: Simplify right side
   53,200x = 6,964,903,936
5. Step 5: Solve for x
   x = 6,964,903,936/53,200
6. Step 6: Final answer
   x = 130,919.25