Finding the Third Proportional to 78,412 and 118,338

Step by Step Solution

1. Step 1: Write the proportion equation
   78,412 : 118,338 = 118,338 : x
2. Step 2: Convert to fraction form
   78,412/118,338 = 118,338/x
3. Step 3: Cross multiply
   78,412x = 118,338 × 118,338
4. Step 4: Simplify right side
   78,412x = 14,003,882,244
5. Step 5: Solve for x
   x = 14,003,882,244/78,412
6. Step 6: Final answer
   x = 178,593.61