Finding the Third Proportional to 42,488 and 86,820

Step by Step Solution

1. Step 1: Write the proportion equation
   42,488 : 86,820 = 86,820 : x
2. Step 2: Convert to fraction form
   42,488/86,820 = 86,820/x
3. Step 3: Cross multiply
   42,488x = 86,820 × 86,820
4. Step 4: Simplify right side
   42,488x = 7,537,712,400
5. Step 5: Solve for x
   x = 7,537,712,400/42,488
6. Step 6: Final answer
   x = 177,408.03