Finding the Third Proportional to 116,772 and 166,410

Step by Step Solution

1. Step 1: Write the proportion equation
   116,772 : 166,410 = 166,410 : x
2. Step 2: Convert to fraction form
   116,772/166,410 = 166,410/x
3. Step 3: Cross multiply
   116,772x = 166,410 × 166,410
4. Step 4: Simplify right side
   116,772x = 27,692,288,100
5. Step 5: Solve for x
   x = 27,692,288,100/116,772
6. Step 6: Final answer
   x = 237,148.36