Finding the Third Proportional to 116,964 and 166,698

Step by Step Solution

1. Step 1: Write the proportion equation
   116,964 : 166,698 = 166,698 : x
2. Step 2: Convert to fraction form
   116,964/166,698 = 166,698/x
3. Step 3: Cross multiply
   116,964x = 166,698 × 166,698
4. Step 4: Simplify right side
   116,964x = 27,788,223,204
5. Step 5: Solve for x
   x = 27,788,223,204/116,964
6. Step 6: Final answer
   x = 237,579.28