Finding the Third Proportional to 102,834 and 152,955

Step by Step Solution

1. Step 1: Write the proportion equation
   102,834 : 152,955 = 152,955 : x
2. Step 2: Convert to fraction form
   102,834/152,955 = 152,955/x
3. Step 3: Cross multiply
   102,834x = 152,955 × 152,955
4. Step 4: Simplify right side
   102,834x = 23,395,232,025
5. Step 5: Solve for x
   x = 23,395,232,025/102,834
6. Step 6: Final answer
   x = 227,504.83