Finding the Third Proportional to 145,023 and 311,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,023 : 311,468.50 = 311,468.50 : x
2. Step 2: Convert to fraction form
   145,023/311,468.50 = 311,468.50/x
3. Step 3: Cross multiply
   145,023x = 311,468.50 × 311,468.50
4. Step 4: Simplify right side
   145,023x = 97,012,626,492.25
5. Step 5: Solve for x
   x = 97,012,626,492.25/145,023
6. Step 6: Final answer
   x = 668,946.49