Finding the Third Proportional to 133,826 and 195,710

Step by Step Solution

1. Step 1: Write the proportion equation
   133,826 : 195,710 = 195,710 : x
2. Step 2: Convert to fraction form
   133,826/195,710 = 195,710/x
3. Step 3: Cross multiply
   133,826x = 195,710 × 195,710
4. Step 4: Simplify right side
   133,826x = 38,302,404,100
5. Step 5: Solve for x
   x = 38,302,404,100/133,826
6. Step 6: Final answer
   x = 286,210.48