Finding the Third Proportional to 152,688 and 309,688

Step by Step Solution

1. Step 1: Write the proportion equation
   152,688 : 309,688 = 309,688 : x
2. Step 2: Convert to fraction form
   152,688/309,688 = 309,688/x
3. Step 3: Cross multiply
   152,688x = 309,688 × 309,688
4. Step 4: Simplify right side
   152,688x = 95,906,657,344
5. Step 5: Solve for x
   x = 95,906,657,344/152,688
6. Step 6: Final answer
   x = 628,121.77