Finding the Third Proportional to 76,740 and 116,712

Step by Step Solution

1. Step 1: Write the proportion equation
   76,740 : 116,712 = 116,712 : x
2. Step 2: Convert to fraction form
   76,740/116,712 = 116,712/x
3. Step 3: Cross multiply
   76,740x = 116,712 × 116,712
4. Step 4: Simplify right side
   76,740x = 13,621,690,944
5. Step 5: Solve for x
   x = 13,621,690,944/76,740
6. Step 6: Final answer
   x = 177,504.44