Finding the Third Proportional to 149,314 and 322,384

Step by Step Solution

1. Step 1: Write the proportion equation
   149,314 : 322,384 = 322,384 : x
2. Step 2: Convert to fraction form
   149,314/322,384 = 322,384/x
3. Step 3: Cross multiply
   149,314x = 322,384 × 322,384
4. Step 4: Simplify right side
   149,314x = 103,931,443,456
5. Step 5: Solve for x
   x = 103,931,443,456/149,314
6. Step 6: Final answer
   x = 696,059.60