Finding the Third Proportional to 78,498 and 118,719

Step by Step Solution

1. Step 1: Write the proportion equation
   78,498 : 118,719 = 118,719 : x
2. Step 2: Convert to fraction form
   78,498/118,719 = 118,719/x
3. Step 3: Cross multiply
   78,498x = 118,719 × 118,719
4. Step 4: Simplify right side
   78,498x = 14,094,200,961
5. Step 5: Solve for x
   x = 14,094,200,961/78,498
6. Step 6: Final answer
   x = 179,548.54