Finding the Third Proportional to 116,049 and 156,576

Step by Step Solution

1. Step 1: Write the proportion equation
   116,049 : 156,576 = 156,576 : x
2. Step 2: Convert to fraction form
   116,049/156,576 = 156,576/x
3. Step 3: Cross multiply
   116,049x = 156,576 × 156,576
4. Step 4: Simplify right side
   116,049x = 24,516,043,776
5. Step 5: Solve for x
   x = 24,516,043,776/116,049
6. Step 6: Final answer
   x = 211,255.97