Finding the Third Proportional to 75,689.25 and 117,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,689.25 : 117,196.50 = 117,196.50 : x
2. Step 2: Convert to fraction form
   75,689.25/117,196.50 = 117,196.50/x
3. Step 3: Cross multiply
   75,689.25x = 117,196.50 × 117,196.50
4. Step 4: Simplify right side
   75,689.25x = 13,735,019,612.25
5. Step 5: Solve for x
   x = 13,735,019,612.25/75,689.25
6. Step 6: Final answer
   x = 181,465.92