Finding the Third Proportional to 148,864 and 321,050

Step by Step Solution

1. Step 1: Write the proportion equation
   148,864 : 321,050 = 321,050 : x
2. Step 2: Convert to fraction form
   148,864/321,050 = 321,050/x
3. Step 3: Cross multiply
   148,864x = 321,050 × 321,050
4. Step 4: Simplify right side
   148,864x = 103,073,102,500
5. Step 5: Solve for x
   x = 103,073,102,500/148,864
6. Step 6: Final answer
   x = 692,397.78