Finding the Third Proportional to 42,378 and 93,054

Step by Step Solution

1. Step 1: Write the proportion equation
   42,378 : 93,054 = 93,054 : x
2. Step 2: Convert to fraction form
   42,378/93,054 = 93,054/x
3. Step 3: Cross multiply
   42,378x = 93,054 × 93,054
4. Step 4: Simplify right side
   42,378x = 8,659,046,916
5. Step 5: Solve for x
   x = 8,659,046,916/42,378
6. Step 6: Final answer
   x = 204,328.82