Finding the Third Proportional to 67,102 and 142,196

Step by Step Solution

1. Step 1: Write the proportion equation
   67,102 : 142,196 = 142,196 : x
2. Step 2: Convert to fraction form
   67,102/142,196 = 142,196/x
3. Step 3: Cross multiply
   67,102x = 142,196 × 142,196
4. Step 4: Simplify right side
   67,102x = 20,219,702,416
5. Step 5: Solve for x
   x = 20,219,702,416/67,102
6. Step 6: Final answer
   x = 301,327.87