Finding the Third Proportional to 64,566 and 152,667

Step by Step Solution

1. Step 1: Write the proportion equation
   64,566 : 152,667 = 152,667 : x
2. Step 2: Convert to fraction form
   64,566/152,667 = 152,667/x
3. Step 3: Cross multiply
   64,566x = 152,667 × 152,667
4. Step 4: Simplify right side
   64,566x = 23,307,212,889
5. Step 5: Solve for x
   x = 23,307,212,889/64,566
6. Step 6: Final answer
   x = 360,982.76