Finding the Third Proportional to 75,969 and 111,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,969 : 111,205.50 = 111,205.50 : x
2. Step 2: Convert to fraction form
   75,969/111,205.50 = 111,205.50/x
3. Step 3: Cross multiply
   75,969x = 111,205.50 × 111,205.50
4. Step 4: Simplify right side
   75,969x = 12,366,663,230.25
5. Step 5: Solve for x
   x = 12,366,663,230.25/75,969
6. Step 6: Final answer
   x = 162,785.65