Finding the Third Proportional to 311,870 and 456,141

Step by Step Solution

1. Step 1: Write the proportion equation
   311,870 : 456,141 = 456,141 : x
2. Step 2: Convert to fraction form
   311,870/456,141 = 456,141/x
3. Step 3: Cross multiply
   311,870x = 456,141 × 456,141
4. Step 4: Simplify right side
   311,870x = 208,064,611,881
5. Step 5: Solve for x
   x = 208,064,611,881/311,870
6. Step 6: Final answer
   x = 667,151.74