Finding the Third Proportional to 73,416 and 116,688

Step by Step Solution

1. Step 1: Write the proportion equation
   73,416 : 116,688 = 116,688 : x
2. Step 2: Convert to fraction form
   73,416/116,688 = 116,688/x
3. Step 3: Cross multiply
   73,416x = 116,688 × 116,688
4. Step 4: Simplify right side
   73,416x = 13,616,089,344
5. Step 5: Solve for x
   x = 13,616,089,344/73,416
6. Step 6: Final answer
   x = 185,464.88