Finding the Third Proportional to 85,536 and 174,432

Step by Step Solution

1. Step 1: Write the proportion equation
   85,536 : 174,432 = 174,432 : x
2. Step 2: Convert to fraction form
   85,536/174,432 = 174,432/x
3. Step 3: Cross multiply
   85,536x = 174,432 × 174,432
4. Step 4: Simplify right side
   85,536x = 30,426,522,624
5. Step 5: Solve for x
   x = 30,426,522,624/85,536
6. Step 6: Final answer
   x = 355,715.99