Finding the Third Proportional to 103,688 and 140,698

Step by Step Solution

1. Step 1: Write the proportion equation
   103,688 : 140,698 = 140,698 : x
2. Step 2: Convert to fraction form
   103,688/140,698 = 140,698/x
3. Step 3: Cross multiply
   103,688x = 140,698 × 140,698
4. Step 4: Simplify right side
   103,688x = 19,795,927,204
5. Step 5: Solve for x
   x = 19,795,927,204/103,688
6. Step 6: Final answer
   x = 190,918.21