Finding the Third Proportional to 148,122 and 321,516

Step by Step Solution

1. Step 1: Write the proportion equation
   148,122 : 321,516 = 321,516 : x
2. Step 2: Convert to fraction form
   148,122/321,516 = 321,516/x
3. Step 3: Cross multiply
   148,122x = 321,516 × 321,516
4. Step 4: Simplify right side
   148,122x = 103,372,538,256
5. Step 5: Solve for x
   x = 103,372,538,256/148,122
6. Step 6: Final answer
   x = 697,887.81