Finding the Third Proportional to 116,296 and 155,628

Step by Step Solution

1. Step 1: Write the proportion equation
   116,296 : 155,628 = 155,628 : x
2. Step 2: Convert to fraction form
   116,296/155,628 = 155,628/x
3. Step 3: Cross multiply
   116,296x = 155,628 × 155,628
4. Step 4: Simplify right side
   116,296x = 24,220,074,384
5. Step 5: Solve for x
   x = 24,220,074,384/116,296
6. Step 6: Final answer
   x = 208,262.32