Finding the Third Proportional to 145,916 and 314,346.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,916 : 314,346.50 = 314,346.50 : x
2. Step 2: Convert to fraction form
   145,916/314,346.50 = 314,346.50/x
3. Step 3: Cross multiply
   145,916x = 314,346.50 × 314,346.50
4. Step 4: Simplify right side
   145,916x = 98,813,722,062.25
5. Step 5: Solve for x
   x = 98,813,722,062.25/145,916
6. Step 6: Final answer
   x = 677,195.94