Finding the Third Proportional to 102,592 and 154,564

Step by Step Solution

1. Step 1: Write the proportion equation
   102,592 : 154,564 = 154,564 : x
2. Step 2: Convert to fraction form
   102,592/154,564 = 154,564/x
3. Step 3: Cross multiply
   102,592x = 154,564 × 154,564
4. Step 4: Simplify right side
   102,592x = 23,890,030,096
5. Step 5: Solve for x
   x = 23,890,030,096/102,592
6. Step 6: Final answer
   x = 232,864.45