Finding the Third Proportional to 42,269 and 89,253

Step by Step Solution

1. Step 1: Write the proportion equation
   42,269 : 89,253 = 89,253 : x
2. Step 2: Convert to fraction form
   42,269/89,253 = 89,253/x
3. Step 3: Cross multiply
   42,269x = 89,253 × 89,253
4. Step 4: Simplify right side
   42,269x = 7,966,098,009
5. Step 5: Solve for x
   x = 7,966,098,009/42,269
6. Step 6: Final answer
   x = 188,461.95