Finding the Third Proportional to 52,666 and 116,006

Step by Step Solution

1. Step 1: Write the proportion equation
   52,666 : 116,006 = 116,006 : x
2. Step 2: Convert to fraction form
   52,666/116,006 = 116,006/x
3. Step 3: Cross multiply
   52,666x = 116,006 × 116,006
4. Step 4: Simplify right side
   52,666x = 13,457,392,036
5. Step 5: Solve for x
   x = 13,457,392,036/52,666
6. Step 6: Final answer
   x = 255,523.34