Finding the Third Proportional to 78,753 and 174,840

Step by Step Solution

1. Step 1: Write the proportion equation
   78,753 : 174,840 = 174,840 : x
2. Step 2: Convert to fraction form
   78,753/174,840 = 174,840/x
3. Step 3: Cross multiply
   78,753x = 174,840 × 174,840
4. Step 4: Simplify right side
   78,753x = 30,569,025,600
5. Step 5: Solve for x
   x = 30,569,025,600/78,753
6. Step 6: Final answer
   x = 388,163.32