Finding the Third Proportional to 102,786 and 154,182

Step by Step Solution

1. Step 1: Write the proportion equation
   102,786 : 154,182 = 154,182 : x
2. Step 2: Convert to fraction form
   102,786/154,182 = 154,182/x
3. Step 3: Cross multiply
   102,786x = 154,182 × 154,182
4. Step 4: Simplify right side
   102,786x = 23,772,089,124
5. Step 5: Solve for x
   x = 23,772,089,124/102,786
6. Step 6: Final answer
   x = 231,277.50