Finding the Third Proportional to 152,669 and 314,851

Step by Step Solution

1. Step 1: Write the proportion equation
   152,669 : 314,851 = 314,851 : x
2. Step 2: Convert to fraction form
   152,669/314,851 = 314,851/x
3. Step 3: Cross multiply
   152,669x = 314,851 × 314,851
4. Step 4: Simplify right side
   152,669x = 99,131,152,201
5. Step 5: Solve for x
   x = 99,131,152,201/152,669
6. Step 6: Final answer
   x = 649,320.77