Finding the Third Proportional to 72,942 and 114,276

Step by Step Solution

1. Step 1: Write the proportion equation
   72,942 : 114,276 = 114,276 : x
2. Step 2: Convert to fraction form
   72,942/114,276 = 114,276/x
3. Step 3: Cross multiply
   72,942x = 114,276 × 114,276
4. Step 4: Simplify right side
   72,942x = 13,059,004,176
5. Step 5: Solve for x
   x = 13,059,004,176/72,942
6. Step 6: Final answer
   x = 179,032.71