Finding the Third Proportional to 72,866 and 114,483

Step by Step Solution

1. Step 1: Write the proportion equation
   72,866 : 114,483 = 114,483 : x
2. Step 2: Convert to fraction form
   72,866/114,483 = 114,483/x
3. Step 3: Cross multiply
   72,866x = 114,483 × 114,483
4. Step 4: Simplify right side
   72,866x = 13,106,357,289
5. Step 5: Solve for x
   x = 13,106,357,289/72,866
6. Step 6: Final answer
   x = 179,869.31