Finding the Third Proportional to 53,172 and 116,826.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,172 : 116,826.50 = 116,826.50 : x
2. Step 2: Convert to fraction form
   53,172/116,826.50 = 116,826.50/x
3. Step 3: Cross multiply
   53,172x = 116,826.50 × 116,826.50
4. Step 4: Simplify right side
   53,172x = 13,648,431,102.25
5. Step 5: Solve for x
   x = 13,648,431,102.25/53,172
6. Step 6: Final answer
   x = 256,684.55