Finding the Third Proportional to 144,592.50 and 216,037.50

Step by Step Solution

1. Step 1: Write the proportion equation
   144,592.50 : 216,037.50 = 216,037.50 : x
2. Step 2: Convert to fraction form
   144,592.50/216,037.50 = 216,037.50/x
3. Step 3: Cross multiply
   144,592.50x = 216,037.50 × 216,037.50
4. Step 4: Simplify right side
   144,592.50x = 46,672,201,406.25
5. Step 5: Solve for x
   x = 46,672,201,406.25/144,592.50
6. Step 6: Final answer
   x = 322,784.39