Finding the Third Proportional to 34,869 and 82,303.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,869 : 82,303.50 = 82,303.50 : x
2. Step 2: Convert to fraction form
   34,869/82,303.50 = 82,303.50/x
3. Step 3: Cross multiply
   34,869x = 82,303.50 × 82,303.50
4. Step 4: Simplify right side
   34,869x = 6,773,866,112.25
5. Step 5: Solve for x
   x = 6,773,866,112.25/34,869
6. Step 6: Final answer
   x = 194,266.14