Finding the Third Proportional to 72,362 and 113,174

Step by Step Solution

1. Step 1: Write the proportion equation
   72,362 : 113,174 = 113,174 : x
2. Step 2: Convert to fraction form
   72,362/113,174 = 113,174/x
3. Step 3: Cross multiply
   72,362x = 113,174 × 113,174
4. Step 4: Simplify right side
   72,362x = 12,808,354,276
5. Step 5: Solve for x
   x = 12,808,354,276/72,362
6. Step 6: Final answer
   x = 177,003.87