Finding the Third Proportional to 142,114 and 205,313

Step by Step Solution

1. Step 1: Write the proportion equation
   142,114 : 205,313 = 205,313 : x
2. Step 2: Convert to fraction form
   142,114/205,313 = 205,313/x
3. Step 3: Cross multiply
   142,114x = 205,313 × 205,313
4. Step 4: Simplify right side
   142,114x = 42,153,427,969
5. Step 5: Solve for x
   x = 42,153,427,969/142,114
6. Step 6: Final answer
   x = 296,617.00