Finding the Third Proportional to 102,816 and 140,069.25

Step by Step Solution

1. Step 1: Write the proportion equation
   102,816 : 140,069.25 = 140,069.25 : x
2. Step 2: Convert to fraction form
   102,816/140,069.25 = 140,069.25/x
3. Step 3: Cross multiply
   102,816x = 140,069.25 × 140,069.25
4. Step 4: Simplify right side
   102,816x = 19,619,394,795.56
5. Step 5: Solve for x
   x = 19,619,394,795.56/102,816
6. Step 6: Final answer
   x = 190,820.44