Finding the Third Proportional to 81,168 and 174,432

Step by Step Solution

1. Step 1: Write the proportion equation
   81,168 : 174,432 = 174,432 : x
2. Step 2: Convert to fraction form
   81,168/174,432 = 174,432/x
3. Step 3: Cross multiply
   81,168x = 174,432 × 174,432
4. Step 4: Simplify right side
   81,168x = 30,426,522,624
5. Step 5: Solve for x
   x = 30,426,522,624/81,168
6. Step 6: Final answer
   x = 374,858.60