Finding the Third Proportional to 77,734 and 116,556

Step by Step Solution

1. Step 1: Write the proportion equation
   77,734 : 116,556 = 116,556 : x
2. Step 2: Convert to fraction form
   77,734/116,556 = 116,556/x
3. Step 3: Cross multiply
   77,734x = 116,556 × 116,556
4. Step 4: Simplify right side
   77,734x = 13,585,301,136
5. Step 5: Solve for x
   x = 13,585,301,136/77,734
6. Step 6: Final answer
   x = 174,766.53