Finding the Third Proportional to 52,813 and 114,770

Step by Step Solution

1. Step 1: Write the proportion equation
   52,813 : 114,770 = 114,770 : x
2. Step 2: Convert to fraction form
   52,813/114,770 = 114,770/x
3. Step 3: Cross multiply
   52,813x = 114,770 × 114,770
4. Step 4: Simplify right side
   52,813x = 13,172,152,900
5. Step 5: Solve for x
   x = 13,172,152,900/52,813
6. Step 6: Final answer
   x = 249,411.18