Finding the Third Proportional to 146,190 and 314,938

Step by Step Solution

1. Step 1: Write the proportion equation
   146,190 : 314,938 = 314,938 : x
2. Step 2: Convert to fraction form
   146,190/314,938 = 314,938/x
3. Step 3: Cross multiply
   146,190x = 314,938 × 314,938
4. Step 4: Simplify right side
   146,190x = 99,185,943,844
5. Step 5: Solve for x
   x = 99,185,943,844/146,190
6. Step 6: Final answer
   x = 678,472.84