Finding the Third Proportional to 78,752 and 174,838

Step by Step Solution

1. Step 1: Write the proportion equation
   78,752 : 174,838 = 174,838 : x
2. Step 2: Convert to fraction form
   78,752/174,838 = 174,838/x
3. Step 3: Cross multiply
   78,752x = 174,838 × 174,838
4. Step 4: Simplify right side
   78,752x = 30,568,326,244
5. Step 5: Solve for x
   x = 30,568,326,244/78,752
6. Step 6: Final answer
   x = 388,159.36