Finding the Third Proportional to 81,768 and 109,888

Step by Step Solution

1. Step 1: Write the proportion equation
   81,768 : 109,888 = 109,888 : x
2. Step 2: Convert to fraction form
   81,768/109,888 = 109,888/x
3. Step 3: Cross multiply
   81,768x = 109,888 × 109,888
4. Step 4: Simplify right side
   81,768x = 12,075,372,544
5. Step 5: Solve for x
   x = 12,075,372,544/81,768
6. Step 6: Final answer
   x = 147,678.46