Finding the Third Proportional to 194,920 and 427,066

Step by Step Solution

1. Step 1: Write the proportion equation
   194,920 : 427,066 = 427,066 : x
2. Step 2: Convert to fraction form
   194,920/427,066 = 427,066/x
3. Step 3: Cross multiply
   194,920x = 427,066 × 427,066
4. Step 4: Simplify right side
   194,920x = 182,385,368,356
5. Step 5: Solve for x
   x = 182,385,368,356/194,920
6. Step 6: Final answer
   x = 935,693.46