Finding the Third Proportional to 78,939 and 174,494.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78,939 : 174,494.25 = 174,494.25 : x
2. Step 2: Convert to fraction form
   78,939/174,494.25 = 174,494.25/x
3. Step 3: Cross multiply
   78,939x = 174,494.25 × 174,494.25
4. Step 4: Simplify right side
   78,939x = 30,448,243,283.06
5. Step 5: Solve for x
   x = 30,448,243,283.06/78,939
6. Step 6: Final answer
   x = 385,718.63