Finding the Third Proportional to 42,892 and 94,509

Step by Step Solution

1. Step 1: Write the proportion equation
   42,892 : 94,509 = 94,509 : x
2. Step 2: Convert to fraction form
   42,892/94,509 = 94,509/x
3. Step 3: Cross multiply
   42,892x = 94,509 × 94,509
4. Step 4: Simplify right side
   42,892x = 8,931,951,081
5. Step 5: Solve for x
   x = 8,931,951,081/42,892
6. Step 6: Final answer
   x = 208,242.82