Finding the Third Proportional to 78,632 and 174,832

Step by Step Solution

1. Step 1: Write the proportion equation
   78,632 : 174,832 = 174,832 : x
2. Step 2: Convert to fraction form
   78,632/174,832 = 174,832/x
3. Step 3: Cross multiply
   78,632x = 174,832 × 174,832
4. Step 4: Simplify right side
   78,632x = 30,566,228,224
5. Step 5: Solve for x
   x = 30,566,228,224/78,632
6. Step 6: Final answer
   x = 388,725.05