Finding the Third Proportional to 53,701 and 116,632

Step by Step Solution

1. Step 1: Write the proportion equation
   53,701 : 116,632 = 116,632 : x
2. Step 2: Convert to fraction form
   53,701/116,632 = 116,632/x
3. Step 3: Cross multiply
   53,701x = 116,632 × 116,632
4. Step 4: Simplify right side
   53,701x = 13,603,023,424
5. Step 5: Solve for x
   x = 13,603,023,424/53,701
6. Step 6: Final answer
   x = 253,310.43