Finding the Third Proportional to 42,782 and 103,066

Step by Step Solution

1. Step 1: Write the proportion equation
   42,782 : 103,066 = 103,066 : x
2. Step 2: Convert to fraction form
   42,782/103,066 = 103,066/x
3. Step 3: Cross multiply
   42,782x = 103,066 × 103,066
4. Step 4: Simplify right side
   42,782x = 10,622,600,356
5. Step 5: Solve for x
   x = 10,622,600,356/42,782
6. Step 6: Final answer
   x = 248,296.02