Finding the Third Proportional to 56,164 and 113,948

Step by Step Solution

1. Step 1: Write the proportion equation
   56,164 : 113,948 = 113,948 : x
2. Step 2: Convert to fraction form
   56,164/113,948 = 113,948/x
3. Step 3: Cross multiply
   56,164x = 113,948 × 113,948
4. Step 4: Simplify right side
   56,164x = 12,984,146,704
5. Step 5: Solve for x
   x = 12,984,146,704/56,164
6. Step 6: Final answer
   x = 231,182.73