Finding the Third Proportional to 42,588 and 90,639

Step by Step Solution

1. Step 1: Write the proportion equation
   42,588 : 90,639 = 90,639 : x
2. Step 2: Convert to fraction form
   42,588/90,639 = 90,639/x
3. Step 3: Cross multiply
   42,588x = 90,639 × 90,639
4. Step 4: Simplify right side
   42,588x = 8,215,428,321
5. Step 5: Solve for x
   x = 8,215,428,321/42,588
6. Step 6: Final answer
   x = 192,904.77