Finding the Third Proportional to 104,810 and 166,076

Step by Step Solution

1. Step 1: Write the proportion equation
   104,810 : 166,076 = 166,076 : x
2. Step 2: Convert to fraction form
   104,810/166,076 = 166,076/x
3. Step 3: Cross multiply
   104,810x = 166,076 × 166,076
4. Step 4: Simplify right side
   104,810x = 27,581,237,776
5. Step 5: Solve for x
   x = 27,581,237,776/104,810
6. Step 6: Final answer
   x = 263,154.64