Finding the Third Proportional to 146,136 and 314,844

Step by Step Solution

1. Step 1: Write the proportion equation
   146,136 : 314,844 = 314,844 : x
2. Step 2: Convert to fraction form
   146,136/314,844 = 314,844/x
3. Step 3: Cross multiply
   146,136x = 314,844 × 314,844
4. Step 4: Simplify right side
   146,136x = 99,126,744,336
5. Step 5: Solve for x
   x = 99,126,744,336/146,136
6. Step 6: Final answer
   x = 678,318.45