Finding the Third Proportional to 42,074 and 92,066

Step by Step Solution

1. Step 1: Write the proportion equation
   42,074 : 92,066 = 92,066 : x
2. Step 2: Convert to fraction form
   42,074/92,066 = 92,066/x
3. Step 3: Cross multiply
   42,074x = 92,066 × 92,066
4. Step 4: Simplify right side
   42,074x = 8,476,148,356
5. Step 5: Solve for x
   x = 8,476,148,356/42,074
6. Step 6: Final answer
   x = 201,458.11