Finding the Third Proportional to 72,813 and 113,106

Step by Step Solution

1. Step 1: Write the proportion equation
   72,813 : 113,106 = 113,106 : x
2. Step 2: Convert to fraction form
   72,813/113,106 = 113,106/x
3. Step 3: Cross multiply
   72,813x = 113,106 × 113,106
4. Step 4: Simplify right side
   72,813x = 12,792,967,236
5. Step 5: Solve for x
   x = 12,792,967,236/72,813
6. Step 6: Final answer
   x = 175,696.20