Finding the Third Proportional to 152,667 and 314,847

Step by Step Solution

1. Step 1: Write the proportion equation
   152,667 : 314,847 = 314,847 : x
2. Step 2: Convert to fraction form
   152,667/314,847 = 314,847/x
3. Step 3: Cross multiply
   152,667x = 314,847 × 314,847
4. Step 4: Simplify right side
   152,667x = 99,128,633,409
5. Step 5: Solve for x
   x = 99,128,633,409/152,667
6. Step 6: Final answer
   x = 649,312.77