Finding the Third Proportional to 102,042 and 158,392.13

Step by Step Solution

1. Step 1: Write the proportion equation
   102,042 : 158,392.13 = 158,392.13 : x
2. Step 2: Convert to fraction form
   102,042/158,392.13 = 158,392.13/x
3. Step 3: Cross multiply
   102,042x = 158,392.13 × 158,392.13
4. Step 4: Simplify right side
   102,042x = 25,088,065,262.02
5. Step 5: Solve for x
   x = 25,088,065,262.02/102,042
6. Step 6: Final answer
   x = 245,860.19