Finding the Third Proportional to 149,902 and 321,056

Step by Step Solution

1. Step 1: Write the proportion equation
   149,902 : 321,056 = 321,056 : x
2. Step 2: Convert to fraction form
   149,902/321,056 = 321,056/x
3. Step 3: Cross multiply
   149,902x = 321,056 × 321,056
4. Step 4: Simplify right side
   149,902x = 103,076,955,136
5. Step 5: Solve for x
   x = 103,076,955,136/149,902
6. Step 6: Final answer
   x = 687,628.95