Finding the Third Proportional to 73,634 and 114,826

Step by Step Solution

1. Step 1: Write the proportion equation
   73,634 : 114,826 = 114,826 : x
2. Step 2: Convert to fraction form
   73,634/114,826 = 114,826/x
3. Step 3: Cross multiply
   73,634x = 114,826 × 114,826
4. Step 4: Simplify right side
   73,634x = 13,185,010,276
5. Step 5: Solve for x
   x = 13,185,010,276/73,634
6. Step 6: Final answer
   x = 179,061.44