Finding the Third Proportional to 42,627 and 89,746

Step by Step Solution

1. Step 1: Write the proportion equation
   42,627 : 89,746 = 89,746 : x
2. Step 2: Convert to fraction form
   42,627/89,746 = 89,746/x
3. Step 3: Cross multiply
   42,627x = 89,746 × 89,746
4. Step 4: Simplify right side
   42,627x = 8,054,344,516
5. Step 5: Solve for x
   x = 8,054,344,516/42,627
6. Step 6: Final answer
   x = 188,949.36