Finding the Third Proportional to 146,280 and 314,754

Step by Step Solution

1. Step 1: Write the proportion equation
   146,280 : 314,754 = 314,754 : x
2. Step 2: Convert to fraction form
   146,280/314,754 = 314,754/x
3. Step 3: Cross multiply
   146,280x = 314,754 × 314,754
4. Step 4: Simplify right side
   146,280x = 99,070,080,516
5. Step 5: Solve for x
   x = 99,070,080,516/146,280
6. Step 6: Final answer
   x = 677,263.33