Finding the Third Proportional to 78,364 and 174,168

Step by Step Solution

1. Step 1: Write the proportion equation
   78,364 : 174,168 = 174,168 : x
2. Step 2: Convert to fraction form
   78,364/174,168 = 174,168/x
3. Step 3: Cross multiply
   78,364x = 174,168 × 174,168
4. Step 4: Simplify right side
   78,364x = 30,334,492,224
5. Step 5: Solve for x
   x = 30,334,492,224/78,364
6. Step 6: Final answer
   x = 387,097.29