Finding the Third Proportional to 152,673 and 314,859

Step by Step Solution

1. Step 1: Write the proportion equation
   152,673 : 314,859 = 314,859 : x
2. Step 2: Convert to fraction form
   152,673/314,859 = 314,859/x
3. Step 3: Cross multiply
   152,673x = 314,859 × 314,859
4. Step 4: Simplify right side
   152,673x = 99,136,189,881
5. Step 5: Solve for x
   x = 99,136,189,881/152,673
6. Step 6: Final answer
   x = 649,336.75