Finding the Third Proportional to 65,548 and 142,196

Step by Step Solution

1. Step 1: Write the proportion equation
   65,548 : 142,196 = 142,196 : x
2. Step 2: Convert to fraction form
   65,548/142,196 = 142,196/x
3. Step 3: Cross multiply
   65,548x = 142,196 × 142,196
4. Step 4: Simplify right side
   65,548x = 20,219,702,416
5. Step 5: Solve for x
   x = 20,219,702,416/65,548
6. Step 6: Final answer
   x = 308,471.69