Finding the Third Proportional to 55,122 and 85,563

Step by Step Solution

1. Step 1: Write the proportion equation
   55,122 : 85,563 = 85,563 : x
2. Step 2: Convert to fraction form
   55,122/85,563 = 85,563/x
3. Step 3: Cross multiply
   55,122x = 85,563 × 85,563
4. Step 4: Simplify right side
   55,122x = 7,321,026,969
5. Step 5: Solve for x
   x = 7,321,026,969/55,122
6. Step 6: Final answer
   x = 132,814.97