Finding the Third Proportional to 76,562 and 112,172

Step by Step Solution

1. Step 1: Write the proportion equation
   76,562 : 112,172 = 112,172 : x
2. Step 2: Convert to fraction form
   76,562/112,172 = 112,172/x
3. Step 3: Cross multiply
   76,562x = 112,172 × 112,172
4. Step 4: Simplify right side
   76,562x = 12,582,557,584
5. Step 5: Solve for x
   x = 12,582,557,584/76,562
6. Step 6: Final answer
   x = 164,344.68