Finding the Third Proportional to 152,671 and 314,855

Step by Step Solution

1. Step 1: Write the proportion equation
   152,671 : 314,855 = 314,855 : x
2. Step 2: Convert to fraction form
   152,671/314,855 = 314,855/x
3. Step 3: Cross multiply
   152,671x = 314,855 × 314,855
4. Step 4: Simplify right side
   152,671x = 99,133,671,025
5. Step 5: Solve for x
   x = 99,133,671,025/152,671
6. Step 6: Final answer
   x = 649,328.76