Finding the Third Proportional to 76,869 and 117,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,869 : 117,733.50 = 117,733.50 : x
2. Step 2: Convert to fraction form
   76,869/117,733.50 = 117,733.50/x
3. Step 3: Cross multiply
   76,869x = 117,733.50 × 117,733.50
4. Step 4: Simplify right side
   76,869x = 13,861,177,022.25
5. Step 5: Solve for x
   x = 13,861,177,022.25/76,869
6. Step 6: Final answer
   x = 180,322.07