Finding the Third Proportional to 106,816.50 and 166,056

Step by Step Solution

1. Step 1: Write the proportion equation
   106,816.50 : 166,056 = 166,056 : x
2. Step 2: Convert to fraction form
   106,816.50/166,056 = 166,056/x
3. Step 3: Cross multiply
   106,816.50x = 166,056 × 166,056
4. Step 4: Simplify right side
   106,816.50x = 27,574,595,136
5. Step 5: Solve for x
   x = 27,574,595,136/106,816.50
6. Step 6: Final answer
   x = 258,149.21