Finding the Third Proportional to 63,814 and 136,012

Step by Step Solution

1. Step 1: Write the proportion equation
   63,814 : 136,012 = 136,012 : x
2. Step 2: Convert to fraction form
   63,814/136,012 = 136,012/x
3. Step 3: Cross multiply
   63,814x = 136,012 × 136,012
4. Step 4: Simplify right side
   63,814x = 18,499,264,144
5. Step 5: Solve for x
   x = 18,499,264,144/63,814
6. Step 6: Final answer
   x = 289,893.51