Finding the Third Proportional to 78,370 and 114,274

Step by Step Solution

1. Step 1: Write the proportion equation
   78,370 : 114,274 = 114,274 : x
2. Step 2: Convert to fraction form
   78,370/114,274 = 114,274/x
3. Step 3: Cross multiply
   78,370x = 114,274 × 114,274
4. Step 4: Simplify right side
   78,370x = 13,058,547,076
5. Step 5: Solve for x
   x = 13,058,547,076/78,370
6. Step 6: Final answer
   x = 166,626.86