Finding the Third Proportional to 308,912 and 460,648

Step by Step Solution

1. Step 1: Write the proportion equation
   308,912 : 460,648 = 460,648 : x
2. Step 2: Convert to fraction form
   308,912/460,648 = 460,648/x
3. Step 3: Cross multiply
   308,912x = 460,648 × 460,648
4. Step 4: Simplify right side
   308,912x = 212,196,579,904
5. Step 5: Solve for x
   x = 212,196,579,904/308,912
6. Step 6: Final answer
   x = 686,915.95