Finding the Third Proportional to 150,875 and 314,147

Step by Step Solution

1. Step 1: Write the proportion equation
   150,875 : 314,147 = 314,147 : x
2. Step 2: Convert to fraction form
   150,875/314,147 = 314,147/x
3. Step 3: Cross multiply
   150,875x = 314,147 × 314,147
4. Step 4: Simplify right side
   150,875x = 98,688,337,609
5. Step 5: Solve for x
   x = 98,688,337,609/150,875
6. Step 6: Final answer
   x = 654,106.63