Finding the Third Proportional to 42,774 and 103,046

Step by Step Solution

1. Step 1: Write the proportion equation
   42,774 : 103,046 = 103,046 : x
2. Step 2: Convert to fraction form
   42,774/103,046 = 103,046/x
3. Step 3: Cross multiply
   42,774x = 103,046 × 103,046
4. Step 4: Simplify right side
   42,774x = 10,618,478,116
5. Step 5: Solve for x
   x = 10,618,478,116/42,774
6. Step 6: Final answer
   x = 248,246.09