Finding the Third Proportional to 120,140 and 262,066

Step by Step Solution

1. Step 1: Write the proportion equation
   120,140 : 262,066 = 262,066 : x
2. Step 2: Convert to fraction form
   120,140/262,066 = 262,066/x
3. Step 3: Cross multiply
   120,140x = 262,066 × 262,066
4. Step 4: Simplify right side
   120,140x = 68,678,588,356
5. Step 5: Solve for x
   x = 68,678,588,356/120,140
6. Step 6: Final answer
   x = 571,654.64