Finding the Third Proportional to 76,743.75 and 117,798

Step by Step Solution

1. Step 1: Write the proportion equation
   76,743.75 : 117,798 = 117,798 : x
2. Step 2: Convert to fraction form
   76,743.75/117,798 = 117,798/x
3. Step 3: Cross multiply
   76,743.75x = 117,798 × 117,798
4. Step 4: Simplify right side
   76,743.75x = 13,876,368,804
5. Step 5: Solve for x
   x = 13,876,368,804/76,743.75
6. Step 6: Final answer
   x = 180,814.32