Finding the Third Proportional to 76,156 and 111,634

Step by Step Solution

1. Step 1: Write the proportion equation
   76,156 : 111,634 = 111,634 : x
2. Step 2: Convert to fraction form
   76,156/111,634 = 111,634/x
3. Step 3: Cross multiply
   76,156x = 111,634 × 111,634
4. Step 4: Simplify right side
   76,156x = 12,462,149,956
5. Step 5: Solve for x
   x = 12,462,149,956/76,156
6. Step 6: Final answer
   x = 163,639.77