Finding the Third Proportional to 113,376 and 166,600

Step by Step Solution

1. Step 1: Write the proportion equation
   113,376 : 166,600 = 166,600 : x
2. Step 2: Convert to fraction form
   113,376/166,600 = 166,600/x
3. Step 3: Cross multiply
   113,376x = 166,600 × 166,600
4. Step 4: Simplify right side
   113,376x = 27,755,560,000
5. Step 5: Solve for x
   x = 27,755,560,000/113,376
6. Step 6: Final answer
   x = 244,809.84