Finding the Third Proportional to 174,942 and 382,479.75

Step by Step Solution

1. Step 1: Write the proportion equation
   174,942 : 382,479.75 = 382,479.75 : x
2. Step 2: Convert to fraction form
   174,942/382,479.75 = 382,479.75/x
3. Step 3: Cross multiply
   174,942x = 382,479.75 × 382,479.75
4. Step 4: Simplify right side
   174,942x = 146,290,759,160.06
5. Step 5: Solve for x
   x = 146,290,759,160.06/174,942
6. Step 6: Final answer
   x = 836,224.34