Finding the Third Proportional to 150,876 and 314,149.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,876 : 314,149.50 = 314,149.50 : x
2. Step 2: Convert to fraction form
   150,876/314,149.50 = 314,149.50/x
3. Step 3: Cross multiply
   150,876x = 314,149.50 × 314,149.50
4. Step 4: Simplify right side
   150,876x = 98,689,908,350.25
5. Step 5: Solve for x
   x = 98,689,908,350.25/150,876
6. Step 6: Final answer
   x = 654,112.70