Finding the Third Proportional to 76,336.50 and 116,772

Step by Step Solution

1. Step 1: Write the proportion equation
   76,336.50 : 116,772 = 116,772 : x
2. Step 2: Convert to fraction form
   76,336.50/116,772 = 116,772/x
3. Step 3: Cross multiply
   76,336.50x = 116,772 × 116,772
4. Step 4: Simplify right side
   76,336.50x = 13,635,699,984
5. Step 5: Solve for x
   x = 13,635,699,984/76,336.50
6. Step 6: Final answer
   x = 178,626.21