Finding the Third Proportional to 113,644 and 173,925

Step by Step Solution

1. Step 1: Write the proportion equation
   113,644 : 173,925 = 173,925 : x
2. Step 2: Convert to fraction form
   113,644/173,925 = 173,925/x
3. Step 3: Cross multiply
   113,644x = 173,925 × 173,925
4. Step 4: Simplify right side
   113,644x = 30,249,905,625
5. Step 5: Solve for x
   x = 30,249,905,625/113,644
6. Step 6: Final answer
   x = 266,181.28