Finding the Third Proportional to 52,217 and 115,004

Step by Step Solution

1. Step 1: Write the proportion equation
   52,217 : 115,004 = 115,004 : x
2. Step 2: Convert to fraction form
   52,217/115,004 = 115,004/x
3. Step 3: Cross multiply
   52,217x = 115,004 × 115,004
4. Step 4: Simplify right side
   52,217x = 13,225,920,016
5. Step 5: Solve for x
   x = 13,225,920,016/52,217
6. Step 6: Final answer
   x = 253,287.63