Finding the Third Proportional to 63,589.50 and 138,114

Step by Step Solution

1. Step 1: Write the proportion equation
   63,589.50 : 138,114 = 138,114 : x
2. Step 2: Convert to fraction form
   63,589.50/138,114 = 138,114/x
3. Step 3: Cross multiply
   63,589.50x = 138,114 × 138,114
4. Step 4: Simplify right side
   63,589.50x = 19,075,476,996
5. Step 5: Solve for x
   x = 19,075,476,996/63,589.50
6. Step 6: Final answer
   x = 299,978.41