Finding the Third Proportional to 81,156 and 174,384

Step by Step Solution

1. Step 1: Write the proportion equation
   81,156 : 174,384 = 174,384 : x
2. Step 2: Convert to fraction form
   81,156/174,384 = 174,384/x
3. Step 3: Cross multiply
   81,156x = 174,384 × 174,384
4. Step 4: Simplify right side
   81,156x = 30,409,779,456
5. Step 5: Solve for x
   x = 30,409,779,456/81,156
6. Step 6: Final answer
   x = 374,707.72