Finding the Third Proportional to 116,667 and 186,077

Step by Step Solution

1. Step 1: Write the proportion equation
   116,667 : 186,077 = 186,077 : x
2. Step 2: Convert to fraction form
   116,667/186,077 = 186,077/x
3. Step 3: Cross multiply
   116,667x = 186,077 × 186,077
4. Step 4: Simplify right side
   116,667x = 34,624,649,929
5. Step 5: Solve for x
   x = 34,624,649,929/116,667
6. Step 6: Final answer
   x = 296,781.87