Finding the Third Proportional to 42,628 and 89,748

Step by Step Solution

1. Step 1: Write the proportion equation
   42,628 : 89,748 = 89,748 : x
2. Step 2: Convert to fraction form
   42,628/89,748 = 89,748/x
3. Step 3: Cross multiply
   42,628x = 89,748 × 89,748
4. Step 4: Simplify right side
   42,628x = 8,054,703,504
5. Step 5: Solve for x
   x = 8,054,703,504/42,628
6. Step 6: Final answer
   x = 188,953.35