Finding the Third Proportional to 116,698 and 185,780

Step by Step Solution

1. Step 1: Write the proportion equation
   116,698 : 185,780 = 185,780 : x
2. Step 2: Convert to fraction form
   116,698/185,780 = 185,780/x
3. Step 3: Cross multiply
   116,698x = 185,780 × 185,780
4. Step 4: Simplify right side
   116,698x = 34,514,208,400
5. Step 5: Solve for x
   x = 34,514,208,400/116,698
6. Step 6: Final answer
   x = 295,756.64