Finding the Third Proportional to 289,983.50 and 443,642.25

Step by Step Solution

1. Step 1: Write the proportion equation
   289,983.50 : 443,642.25 = 443,642.25 : x
2. Step 2: Convert to fraction form
   289,983.50/443,642.25 = 443,642.25/x
3. Step 3: Cross multiply
   289,983.50x = 443,642.25 × 443,642.25
4. Step 4: Simplify right side
   289,983.50x = 196,818,445,985.06
5. Step 5: Solve for x
   x = 196,818,445,985.06/289,983.50
6. Step 6: Final answer
   x = 678,722.91