Finding the Third Proportional to 63,543 and 138,152.25

Step by Step Solution

1. Step 1: Write the proportion equation
   63,543 : 138,152.25 = 138,152.25 : x
2. Step 2: Convert to fraction form
   63,543/138,152.25 = 138,152.25/x
3. Step 3: Cross multiply
   63,543x = 138,152.25 × 138,152.25
4. Step 4: Simplify right side
   63,543x = 19,086,044,180.06
5. Step 5: Solve for x
   x = 19,086,044,180.06/63,543
6. Step 6: Final answer
   x = 300,364.23