Finding the Third Proportional to 150,892 and 314,178

Step by Step Solution

1. Step 1: Write the proportion equation
   150,892 : 314,178 = 314,178 : x
2. Step 2: Convert to fraction form
   150,892/314,178 = 314,178/x
3. Step 3: Cross multiply
   150,892x = 314,178 × 314,178
4. Step 4: Simplify right side
   150,892x = 98,707,815,684
5. Step 5: Solve for x
   x = 98,707,815,684/150,892
6. Step 6: Final answer
   x = 654,162.02