Finding the Third Proportional to 53,672 and 114,274

Step by Step Solution

1. Step 1: Write the proportion equation
   53,672 : 114,274 = 114,274 : x
2. Step 2: Convert to fraction form
   53,672/114,274 = 114,274/x
3. Step 3: Cross multiply
   53,672x = 114,274 × 114,274
4. Step 4: Simplify right side
   53,672x = 13,058,547,076
5. Step 5: Solve for x
   x = 13,058,547,076/53,672
6. Step 6: Final answer
   x = 243,302.78