Finding the Third Proportional to 113,840 and 164,466

Step by Step Solution

1. Step 1: Write the proportion equation
   113,840 : 164,466 = 164,466 : x
2. Step 2: Convert to fraction form
   113,840/164,466 = 164,466/x
3. Step 3: Cross multiply
   113,840x = 164,466 × 164,466
4. Step 4: Simplify right side
   113,840x = 27,049,065,156
5. Step 5: Solve for x
   x = 27,049,065,156/113,840
6. Step 6: Final answer
   x = 237,605.98