Finding the Third Proportional to 150,864 and 314,124

Step by Step Solution

1. Step 1: Write the proportion equation
   150,864 : 314,124 = 314,124 : x
2. Step 2: Convert to fraction form
   150,864/314,124 = 314,124/x
3. Step 3: Cross multiply
   150,864x = 314,124 × 314,124
4. Step 4: Simplify right side
   150,864x = 98,673,887,376
5. Step 5: Solve for x
   x = 98,673,887,376/150,864
6. Step 6: Final answer
   x = 654,058.54