Finding the Third Proportional to 76,838.50 and 118,666

Step by Step Solution

1. Step 1: Write the proportion equation
   76,838.50 : 118,666 = 118,666 : x
2. Step 2: Convert to fraction form
   76,838.50/118,666 = 118,666/x
3. Step 3: Cross multiply
   76,838.50x = 118,666 × 118,666
4. Step 4: Simplify right side
   76,838.50x = 14,081,619,556
5. Step 5: Solve for x
   x = 14,081,619,556/76,838.50
6. Step 6: Final answer
   x = 183,262.55