Finding the Third Proportional to 78,279.75 and 174,488.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78,279.75 : 174,488.25 = 174,488.25 : x
2. Step 2: Convert to fraction form
   78,279.75/174,488.25 = 174,488.25/x
3. Step 3: Cross multiply
   78,279.75x = 174,488.25 × 174,488.25
4. Step 4: Simplify right side
   78,279.75x = 30,446,149,388.06
5. Step 5: Solve for x
   x = 30,446,149,388.06/78,279.75
6. Step 6: Final answer
   x = 388,940.30