Finding the Third Proportional to 42,588 and 88,668

Step by Step Solution

1. Step 1: Write the proportion equation
   42,588 : 88,668 = 88,668 : x
2. Step 2: Convert to fraction form
   42,588/88,668 = 88,668/x
3. Step 3: Cross multiply
   42,588x = 88,668 × 88,668
4. Step 4: Simplify right side
   42,588x = 7,862,014,224
5. Step 5: Solve for x
   x = 7,862,014,224/42,588
6. Step 6: Final answer
   x = 184,606.33