Finding the Third Proportional to 145,565 and 314,503.25

Step by Step Solution

1. Step 1: Write the proportion equation
   145,565 : 314,503.25 = 314,503.25 : x
2. Step 2: Convert to fraction form
   145,565/314,503.25 = 314,503.25/x
3. Step 3: Cross multiply
   145,565x = 314,503.25 × 314,503.25
4. Step 4: Simplify right side
   145,565x = 98,912,294,260.56
5. Step 5: Solve for x
   x = 98,912,294,260.56/145,565
6. Step 6: Final answer
   x = 679,506.02