Finding the Third Proportional to 148,914 and 321,156

Step by Step Solution

1. Step 1: Write the proportion equation
   148,914 : 321,156 = 321,156 : x
2. Step 2: Convert to fraction form
   148,914/321,156 = 321,156/x
3. Step 3: Cross multiply
   148,914x = 321,156 × 321,156
4. Step 4: Simplify right side
   148,914x = 103,141,176,336
5. Step 5: Solve for x
   x = 103,141,176,336/148,914
6. Step 6: Final answer
   x = 692,622.43