Finding the Third Proportional to 63,514.50 and 137,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   63,514.50 : 137,152.50 = 137,152.50 : x
2. Step 2: Convert to fraction form
   63,514.50/137,152.50 = 137,152.50/x
3. Step 3: Cross multiply
   63,514.50x = 137,152.50 × 137,152.50
4. Step 4: Simplify right side
   63,514.50x = 18,810,808,256.25
5. Step 5: Solve for x
   x = 18,810,808,256.25/63,514.50
6. Step 6: Final answer
   x = 296,165.57