Finding the Third Proportional to 52,829 and 108,088

Step by Step Solution

1. Step 1: Write the proportion equation
   52,829 : 108,088 = 108,088 : x
2. Step 2: Convert to fraction form
   52,829/108,088 = 108,088/x
3. Step 3: Cross multiply
   52,829x = 108,088 × 108,088
4. Step 4: Simplify right side
   52,829x = 11,683,015,744
5. Step 5: Solve for x
   x = 11,683,015,744/52,829
6. Step 6: Final answer
   x = 221,147.77