Finding the Third Proportional to 51,851 and 113,746

Step by Step Solution

1. Step 1: Write the proportion equation
   51,851 : 113,746 = 113,746 : x
2. Step 2: Convert to fraction form
   51,851/113,746 = 113,746/x
3. Step 3: Cross multiply
   51,851x = 113,746 × 113,746
4. Step 4: Simplify right side
   51,851x = 12,938,152,516
5. Step 5: Solve for x
   x = 12,938,152,516/51,851
6. Step 6: Final answer
   x = 249,525.61