Finding the Third Proportional to 147,582 and 215,563.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,582 : 215,563.50 = 215,563.50 : x
2. Step 2: Convert to fraction form
   147,582/215,563.50 = 215,563.50/x
3. Step 3: Cross multiply
   147,582x = 215,563.50 × 215,563.50
4. Step 4: Simplify right side
   147,582x = 46,467,622,532.25
5. Step 5: Solve for x
   x = 46,467,622,532.25/147,582
6. Step 6: Final answer
   x = 314,859.69