Finding the Third Proportional to 148,920 and 321,166

Step by Step Solution

1. Step 1: Write the proportion equation
   148,920 : 321,166 = 321,166 : x
2. Step 2: Convert to fraction form
   148,920/321,166 = 321,166/x
3. Step 3: Cross multiply
   148,920x = 321,166 × 321,166
4. Step 4: Simplify right side
   148,920x = 103,147,599,556
5. Step 5: Solve for x
   x = 103,147,599,556/148,920
6. Step 6: Final answer
   x = 692,637.65