Finding the Third Proportional to 56,330 and 105,563

Step by Step Solution

1. Step 1: Write the proportion equation
   56,330 : 105,563 = 105,563 : x
2. Step 2: Convert to fraction form
   56,330/105,563 = 105,563/x
3. Step 3: Cross multiply
   56,330x = 105,563 × 105,563
4. Step 4: Simplify right side
   56,330x = 11,143,546,969
5. Step 5: Solve for x
   x = 11,143,546,969/56,330
6. Step 6: Final answer
   x = 197,826.15