Finding the Third Proportional to 142,120 and 205,321

Step by Step Solution

1. Step 1: Write the proportion equation
   142,120 : 205,321 = 205,321 : x
2. Step 2: Convert to fraction form
   142,120/205,321 = 205,321/x
3. Step 3: Cross multiply
   142,120x = 205,321 × 205,321
4. Step 4: Simplify right side
   142,120x = 42,156,713,041
5. Step 5: Solve for x
   x = 42,156,713,041/142,120
6. Step 6: Final answer
   x = 296,627.59