Finding the Third Proportional to 53,385 and 116,166

Step by Step Solution

1. Step 1: Write the proportion equation
   53,385 : 116,166 = 116,166 : x
2. Step 2: Convert to fraction form
   53,385/116,166 = 116,166/x
3. Step 3: Cross multiply
   53,385x = 116,166 × 116,166
4. Step 4: Simplify right side
   53,385x = 13,494,539,556
5. Step 5: Solve for x
   x = 13,494,539,556/53,385
6. Step 6: Final answer
   x = 252,777.74