Finding the Third Proportional to 145,221 and 314,566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,221 : 314,566.50 = 314,566.50 : x
2. Step 2: Convert to fraction form
   145,221/314,566.50 = 314,566.50/x
3. Step 3: Cross multiply
   145,221x = 314,566.50 × 314,566.50
4. Step 4: Simplify right side
   145,221x = 98,952,082,922.25
5. Step 5: Solve for x
   x = 98,952,082,922.25/145,221
6. Step 6: Final answer
   x = 681,389.63