Finding the Third Proportional to 147,692 and 316,384

Step by Step Solution

1. Step 1: Write the proportion equation
   147,692 : 316,384 = 316,384 : x
2. Step 2: Convert to fraction form
   147,692/316,384 = 316,384/x
3. Step 3: Cross multiply
   147,692x = 316,384 × 316,384
4. Step 4: Simplify right side
   147,692x = 100,098,835,456
5. Step 5: Solve for x
   x = 100,098,835,456/147,692
6. Step 6: Final answer
   x = 677,753.94