Finding the Third Proportional to 63,444 and 137,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   63,444 : 137,827.50 = 137,827.50 : x
2. Step 2: Convert to fraction form
   63,444/137,827.50 = 137,827.50/x
3. Step 3: Cross multiply
   63,444x = 137,827.50 × 137,827.50
4. Step 4: Simplify right side
   63,444x = 18,996,419,756.25
5. Step 5: Solve for x
   x = 18,996,419,756.25/63,444
6. Step 6: Final answer
   x = 299,420.27