Finding the Third Proportional to 42,768 and 89,424

Step by Step Solution

1. Step 1: Write the proportion equation
   42,768 : 89,424 = 89,424 : x
2. Step 2: Convert to fraction form
   42,768/89,424 = 89,424/x
3. Step 3: Cross multiply
   42,768x = 89,424 × 89,424
4. Step 4: Simplify right side
   42,768x = 7,996,651,776
5. Step 5: Solve for x
   x = 7,996,651,776/42,768
6. Step 6: Final answer
   x = 186,977.45