Finding the Third Proportional to 149,892 and 321,152

Step by Step Solution

1. Step 1: Write the proportion equation
   149,892 : 321,152 = 321,152 : x
2. Step 2: Convert to fraction form
   149,892/321,152 = 321,152/x
3. Step 3: Cross multiply
   149,892x = 321,152 × 321,152
4. Step 4: Simplify right side
   149,892x = 103,138,607,104
5. Step 5: Solve for x
   x = 103,138,607,104/149,892
6. Step 6: Final answer
   x = 688,086.14