Finding the Third Proportional to 117,796 and 187,618.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,796 : 187,618.50 = 187,618.50 : x
2. Step 2: Convert to fraction form
   117,796/187,618.50 = 187,618.50/x
3. Step 3: Cross multiply
   117,796x = 187,618.50 × 187,618.50
4. Step 4: Simplify right side
   117,796x = 35,200,701,542.25
5. Step 5: Solve for x
   x = 35,200,701,542.25/117,796
6. Step 6: Final answer
   x = 298,827.65