Finding the Third Proportional to 117,808 and 187,640

Step by Step Solution

1. Step 1: Write the proportion equation
   117,808 : 187,640 = 187,640 : x
2. Step 2: Convert to fraction form
   117,808/187,640 = 187,640/x
3. Step 3: Cross multiply
   117,808x = 187,640 × 187,640
4. Step 4: Simplify right side
   117,808x = 35,208,769,600
5. Step 5: Solve for x
   x = 35,208,769,600/117,808
6. Step 6: Final answer
   x = 298,865.69