Finding the Third Proportional to 42,900 and 89,688

Step by Step Solution

1. Step 1: Write the proportion equation
   42,900 : 89,688 = 89,688 : x
2. Step 2: Convert to fraction form
   42,900/89,688 = 89,688/x
3. Step 3: Cross multiply
   42,900x = 89,688 × 89,688
4. Step 4: Simplify right side
   42,900x = 8,043,937,344
5. Step 5: Solve for x
   x = 8,043,937,344/42,900
6. Step 6: Final answer
   x = 187,504.37