Finding the Third Proportional to 126,584 and 196,788

Step by Step Solution

1. Step 1: Write the proportion equation
   126,584 : 196,788 = 196,788 : x
2. Step 2: Convert to fraction form
   126,584/196,788 = 196,788/x
3. Step 3: Cross multiply
   126,584x = 196,788 × 196,788
4. Step 4: Simplify right side
   126,584x = 38,725,516,944
5. Step 5: Solve for x
   x = 38,725,516,944/126,584
6. Step 6: Final answer
   x = 305,927.42