Finding the Third Proportional to 144,846 and 223,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,846 : 223,837.50 = 223,837.50 : x
2. Step 2: Convert to fraction form
   144,846/223,837.50 = 223,837.50/x
3. Step 3: Cross multiply
   144,846x = 223,837.50 × 223,837.50
4. Step 4: Simplify right side
   144,846x = 50,103,226,406.25
5. Step 5: Solve for x
   x = 50,103,226,406.25/144,846
6. Step 6: Final answer
   x = 345,906.87