Finding the Third Proportional to 146,328 and 314,490

Step by Step Solution

1. Step 1: Write the proportion equation
   146,328 : 314,490 = 314,490 : x
2. Step 2: Convert to fraction form
   146,328/314,490 = 314,490/x
3. Step 3: Cross multiply
   146,328x = 314,490 × 314,490
4. Step 4: Simplify right side
   146,328x = 98,903,960,100
5. Step 5: Solve for x
   x = 98,903,960,100/146,328
6. Step 6: Final answer
   x = 675,905.91