Finding the Third Proportional to 53,322 and 116,688

Step by Step Solution

1. Step 1: Write the proportion equation
   53,322 : 116,688 = 116,688 : x
2. Step 2: Convert to fraction form
   53,322/116,688 = 116,688/x
3. Step 3: Cross multiply
   53,322x = 116,688 × 116,688
4. Step 4: Simplify right side
   53,322x = 13,616,089,344
5. Step 5: Solve for x
   x = 13,616,089,344/53,322
6. Step 6: Final answer
   x = 255,355.94