Finding the Third Proportional to 148,918 and 321,164

Step by Step Solution

1. Step 1: Write the proportion equation
   148,918 : 321,164 = 321,164 : x
2. Step 2: Convert to fraction form
   148,918/321,164 = 321,164/x
3. Step 3: Cross multiply
   148,918x = 321,164 × 321,164
4. Step 4: Simplify right side
   148,918x = 103,146,314,896
5. Step 5: Solve for x
   x = 103,146,314,896/148,918
6. Step 6: Final answer
   x = 692,638.33