Finding the Third Proportional to 53,319.50 and 116,683

Step by Step Solution

1. Step 1: Write the proportion equation
   53,319.50 : 116,683 = 116,683 : x
2. Step 2: Convert to fraction form
   53,319.50/116,683 = 116,683/x
3. Step 3: Cross multiply
   53,319.50x = 116,683 × 116,683
4. Step 4: Simplify right side
   53,319.50x = 13,614,922,489
5. Step 5: Solve for x
   x = 13,614,922,489/53,319.50
6. Step 6: Final answer
   x = 255,346.03