Finding the Third Proportional to 147,627 and 313,708.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,627 : 313,708.50 = 313,708.50 : x
2. Step 2: Convert to fraction form
   147,627/313,708.50 = 313,708.50/x
3. Step 3: Cross multiply
   147,627x = 313,708.50 × 313,708.50
4. Step 4: Simplify right side
   147,627x = 98,413,022,972.25
5. Step 5: Solve for x
   x = 98,413,022,972.25/147,627
6. Step 6: Final answer
   x = 666,632.95