Finding the Third Proportional to 145,398 and 314,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,398 : 314,146.50 = 314,146.50 : x
2. Step 2: Convert to fraction form
   145,398/314,146.50 = 314,146.50/x
3. Step 3: Cross multiply
   145,398x = 314,146.50 × 314,146.50
4. Step 4: Simplify right side
   145,398x = 98,688,023,462.25
5. Step 5: Solve for x
   x = 98,688,023,462.25/145,398
6. Step 6: Final answer
   x = 678,744.02