Finding the Third Proportional to 146,377 and 314,946

Step by Step Solution

1. Step 1: Write the proportion equation
   146,377 : 314,946 = 314,946 : x
2. Step 2: Convert to fraction form
   146,377/314,946 = 314,946/x
3. Step 3: Cross multiply
   146,377x = 314,946 × 314,946
4. Step 4: Simplify right side
   146,377x = 99,190,982,916
5. Step 5: Solve for x
   x = 99,190,982,916/146,377
6. Step 6: Final answer
   x = 677,640.50