Finding the Third Proportional to 144,846 and 212,083.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,846 : 212,083.50 = 212,083.50 : x
2. Step 2: Convert to fraction form
   144,846/212,083.50 = 212,083.50/x
3. Step 3: Cross multiply
   144,846x = 212,083.50 × 212,083.50
4. Step 4: Simplify right side
   144,846x = 44,979,410,972.25
5. Step 5: Solve for x
   x = 44,979,410,972.25/144,846
6. Step 6: Final answer
   x = 310,532.64