Finding the Third Proportional to 51,822 and 113,688

Step by Step Solution

1. Step 1: Write the proportion equation
   51,822 : 113,688 = 113,688 : x
2. Step 2: Convert to fraction form
   51,822/113,688 = 113,688/x
3. Step 3: Cross multiply
   51,822x = 113,688 × 113,688
4. Step 4: Simplify right side
   51,822x = 12,924,961,344
5. Step 5: Solve for x
   x = 12,924,961,344/51,822
6. Step 6: Final answer
   x = 249,410.70