Finding the Third Proportional to 152,144 and 308,896

Step by Step Solution

1. Step 1: Write the proportion equation
   152,144 : 308,896 = 308,896 : x
2. Step 2: Convert to fraction form
   152,144/308,896 = 308,896/x
3. Step 3: Cross multiply
   152,144x = 308,896 × 308,896
4. Step 4: Simplify right side
   152,144x = 95,416,738,816
5. Step 5: Solve for x
   x = 95,416,738,816/152,144
6. Step 6: Final answer
   x = 627,147.56