Finding the Third Proportional to 145,956 and 314,700

Step by Step Solution

1. Step 1: Write the proportion equation
   145,956 : 314,700 = 314,700 : x
2. Step 2: Convert to fraction form
   145,956/314,700 = 314,700/x
3. Step 3: Cross multiply
   145,956x = 314,700 × 314,700
4. Step 4: Simplify right side
   145,956x = 99,036,090,000
5. Step 5: Solve for x
   x = 99,036,090,000/145,956
6. Step 6: Final answer
   x = 678,533.87