Finding the Third Proportional to 150,887 and 314,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,887 : 314,166.50 = 314,166.50 : x
2. Step 2: Convert to fraction form
   150,887/314,166.50 = 314,166.50/x
3. Step 3: Cross multiply
   150,887x = 314,166.50 × 314,166.50
4. Step 4: Simplify right side
   150,887x = 98,700,589,722.25
5. Step 5: Solve for x
   x = 98,700,589,722.25/150,887
6. Step 6: Final answer
   x = 654,135.81