Finding the Third Proportional to 52,006 and 110,210

Step by Step Solution

1. Step 1: Write the proportion equation
   52,006 : 110,210 = 110,210 : x
2. Step 2: Convert to fraction form
   52,006/110,210 = 110,210/x
3. Step 3: Cross multiply
   52,006x = 110,210 × 110,210
4. Step 4: Simplify right side
   52,006x = 12,146,244,100
5. Step 5: Solve for x
   x = 12,146,244,100/52,006
6. Step 6: Final answer
   x = 233,554.67