Finding the Third Proportional to 53,746.50 and 116,826

Step by Step Solution

1. Step 1: Write the proportion equation
   53,746.50 : 116,826 = 116,826 : x
2. Step 2: Convert to fraction form
   53,746.50/116,826 = 116,826/x
3. Step 3: Cross multiply
   53,746.50x = 116,826 × 116,826
4. Step 4: Simplify right side
   53,746.50x = 13,648,314,276
5. Step 5: Solve for x
   x = 13,648,314,276/53,746.50
6. Step 6: Final answer
   x = 253,938.66