Finding the Third Proportional to 182,258 and 392,456

Step by Step Solution

1. Step 1: Write the proportion equation
   182,258 : 392,456 = 392,456 : x
2. Step 2: Convert to fraction form
   182,258/392,456 = 392,456/x
3. Step 3: Cross multiply
   182,258x = 392,456 × 392,456
4. Step 4: Simplify right side
   182,258x = 154,021,711,936
5. Step 5: Solve for x
   x = 154,021,711,936/182,258
6. Step 6: Final answer
   x = 845,075.18