Finding the Third Proportional to 286,772.50 and 443,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   286,772.50 : 443,827.50 = 443,827.50 : x
2. Step 2: Convert to fraction form
   286,772.50/443,827.50 = 443,827.50/x
3. Step 3: Cross multiply
   286,772.50x = 443,827.50 × 443,827.50
4. Step 4: Simplify right side
   286,772.50x = 196,982,849,756.25
5. Step 5: Solve for x
   x = 196,982,849,756.25/286,772.50
6. Step 6: Final answer
   x = 686,895.88