Finding the Third Proportional to 78,814 and 118,224

Step by Step Solution

1. Step 1: Write the proportion equation
   78,814 : 118,224 = 118,224 : x
2. Step 2: Convert to fraction form
   78,814/118,224 = 118,224/x
3. Step 3: Cross multiply
   78,814x = 118,224 × 118,224
4. Step 4: Simplify right side
   78,814x = 13,976,914,176
5. Step 5: Solve for x
   x = 13,976,914,176/78,814
6. Step 6: Final answer
   x = 177,340.50