Finding the Third Proportional to 53,751 and 117,730.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,751 : 117,730.50 = 117,730.50 : x
2. Step 2: Convert to fraction form
   53,751/117,730.50 = 117,730.50/x
3. Step 3: Cross multiply
   53,751x = 117,730.50 × 117,730.50
4. Step 4: Simplify right side
   53,751x = 13,860,470,630.25
5. Step 5: Solve for x
   x = 13,860,470,630.25/53,751
6. Step 6: Final answer
   x = 257,864.42