Finding the Third Proportional to 104,818 and 166,056

Step by Step Solution

1. Step 1: Write the proportion equation
   104,818 : 166,056 = 166,056 : x
2. Step 2: Convert to fraction form
   104,818/166,056 = 166,056/x
3. Step 3: Cross multiply
   104,818x = 166,056 × 166,056
4. Step 4: Simplify right side
   104,818x = 27,574,595,136
5. Step 5: Solve for x
   x = 27,574,595,136/104,818
6. Step 6: Final answer
   x = 263,071.18