Finding the Third Proportional to 78,441 and 118,389

Step by Step Solution

1. Step 1: Write the proportion equation
   78,441 : 118,389 = 118,389 : x
2. Step 2: Convert to fraction form
   78,441/118,389 = 118,389/x
3. Step 3: Cross multiply
   78,441x = 118,389 × 118,389
4. Step 4: Simplify right side
   78,441x = 14,015,955,321
5. Step 5: Solve for x
   x = 14,015,955,321/78,441
6. Step 6: Final answer
   x = 178,681.50