Finding the Third Proportional to 186,540 and 296,667

Step by Step Solution

1. Step 1: Write the proportion equation
   186,540 : 296,667 = 296,667 : x
2. Step 2: Convert to fraction form
   186,540/296,667 = 296,667/x
3. Step 3: Cross multiply
   186,540x = 296,667 × 296,667
4. Step 4: Simplify right side
   186,540x = 88,011,308,889
5. Step 5: Solve for x
   x = 88,011,308,889/186,540
6. Step 6: Final answer
   x = 471,809.31