Finding the Third Proportional to 42,396 and 98,574

Step by Step Solution

1. Step 1: Write the proportion equation
   42,396 : 98,574 = 98,574 : x
2. Step 2: Convert to fraction form
   42,396/98,574 = 98,574/x
3. Step 3: Cross multiply
   42,396x = 98,574 × 98,574
4. Step 4: Simplify right side
   42,396x = 9,716,833,476
5. Step 5: Solve for x
   x = 9,716,833,476/42,396
6. Step 6: Final answer
   x = 229,192.22