Finding the Third Proportional to 145,714.50 and 314,388

Step by Step Solution

1. Step 1: Write the proportion equation
   145,714.50 : 314,388 = 314,388 : x
2. Step 2: Convert to fraction form
   145,714.50/314,388 = 314,388/x
3. Step 3: Cross multiply
   145,714.50x = 314,388 × 314,388
4. Step 4: Simplify right side
   145,714.50x = 98,839,814,544
5. Step 5: Solve for x
   x = 98,839,814,544/145,714.50
6. Step 6: Final answer
   x = 678,311.46