Finding the Third Proportional to 145,205.50 and 314,540

Step by Step Solution

1. Step 1: Write the proportion equation
   145,205.50 : 314,540 = 314,540 : x
2. Step 2: Convert to fraction form
   145,205.50/314,540 = 314,540/x
3. Step 3: Cross multiply
   145,205.50x = 314,540 × 314,540
4. Step 4: Simplify right side
   145,205.50x = 98,935,411,600
5. Step 5: Solve for x
   x = 98,935,411,600/145,205.50
6. Step 6: Final answer
   x = 681,347.55