Finding the Third Proportional to 52,817 and 114,778

Step by Step Solution

1. Step 1: Write the proportion equation
   52,817 : 114,778 = 114,778 : x
2. Step 2: Convert to fraction form
   52,817/114,778 = 114,778/x
3. Step 3: Cross multiply
   52,817x = 114,778 × 114,778
4. Step 4: Simplify right side
   52,817x = 13,173,989,284
5. Step 5: Solve for x
   x = 13,173,989,284/52,817
6. Step 6: Final answer
   x = 249,427.06