Finding the Third Proportional to 78,984 and 175,464

Step by Step Solution

1. Step 1: Write the proportion equation
   78,984 : 175,464 = 175,464 : x
2. Step 2: Convert to fraction form
   78,984/175,464 = 175,464/x
3. Step 3: Cross multiply
   78,984x = 175,464 × 175,464
4. Step 4: Simplify right side
   78,984x = 30,787,615,296
5. Step 5: Solve for x
   x = 30,787,615,296/78,984
6. Step 6: Final answer
   x = 389,795.60