Finding the Third Proportional to 148,876 and 321,076

Step by Step Solution

1. Step 1: Write the proportion equation
   148,876 : 321,076 = 321,076 : x
2. Step 2: Convert to fraction form
   148,876/321,076 = 321,076/x
3. Step 3: Cross multiply
   148,876x = 321,076 × 321,076
4. Step 4: Simplify right side
   148,876x = 103,089,797,776
5. Step 5: Solve for x
   x = 103,089,797,776/148,876
6. Step 6: Final answer
   x = 692,454.11