Finding the Third Proportional to 614,223 and 947,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   614,223 : 947,578.50 = 947,578.50 : x
2. Step 2: Convert to fraction form
   614,223/947,578.50 = 947,578.50/x
3. Step 3: Cross multiply
   614,223x = 947,578.50 × 947,578.50
4. Step 4: Simplify right side
   614,223x = 897,905,013,662.25
5. Step 5: Solve for x
   x = 897,905,013,662.25/614,223
6. Step 6: Final answer
   x = 1,461,855.08