Finding the Third Proportional to 72,083 and 114,786.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,083 : 114,786.50 = 114,786.50 : x
2. Step 2: Convert to fraction form
   72,083/114,786.50 = 114,786.50/x
3. Step 3: Cross multiply
   72,083x = 114,786.50 × 114,786.50
4. Step 4: Simplify right side
   72,083x = 13,175,940,582.25
5. Step 5: Solve for x
   x = 13,175,940,582.25/72,083
6. Step 6: Final answer
   x = 182,788.46