Finding the Third Proportional to 72,172 and 113,366

Step by Step Solution

1. Step 1: Write the proportion equation
   72,172 : 113,366 = 113,366 : x
2. Step 2: Convert to fraction form
   72,172/113,366 = 113,366/x
3. Step 3: Cross multiply
   72,172x = 113,366 × 113,366
4. Step 4: Simplify right side
   72,172x = 12,851,849,956
5. Step 5: Solve for x
   x = 12,851,849,956/72,172
6. Step 6: Final answer
   x = 178,072.52