Finding the Third Proportional to 117,814 and 166,572

Step by Step Solution

1. Step 1: Write the proportion equation
   117,814 : 166,572 = 166,572 : x
2. Step 2: Convert to fraction form
   117,814/166,572 = 166,572/x
3. Step 3: Cross multiply
   117,814x = 166,572 × 166,572
4. Step 4: Simplify right side
   117,814x = 27,746,231,184
5. Step 5: Solve for x
   x = 27,746,231,184/117,814
6. Step 6: Final answer
   x = 235,508.78