Finding the Third Proportional to 174,648 and 379,536

Step by Step Solution

1. Step 1: Write the proportion equation
   174,648 : 379,536 = 379,536 : x
2. Step 2: Convert to fraction form
   174,648/379,536 = 379,536/x
3. Step 3: Cross multiply
   174,648x = 379,536 × 379,536
4. Step 4: Simplify right side
   174,648x = 144,047,575,296
5. Step 5: Solve for x
   x = 144,047,575,296/174,648
6. Step 6: Final answer
   x = 824,788.00