Finding the Third Proportional to 142,506 and 205,389

Step by Step Solution

1. Step 1: Write the proportion equation
   142,506 : 205,389 = 205,389 : x
2. Step 2: Convert to fraction form
   142,506/205,389 = 205,389/x
3. Step 3: Cross multiply
   142,506x = 205,389 × 205,389
4. Step 4: Simplify right side
   142,506x = 42,184,641,321
5. Step 5: Solve for x
   x = 42,184,641,321/142,506
6. Step 6: Final answer
   x = 296,020.11