Finding the Third Proportional to 102,384 and 155,007

Step by Step Solution

1. Step 1: Write the proportion equation
   102,384 : 155,007 = 155,007 : x
2. Step 2: Convert to fraction form
   102,384/155,007 = 155,007/x
3. Step 3: Cross multiply
   102,384x = 155,007 × 155,007
4. Step 4: Simplify right side
   102,384x = 24,027,170,049
5. Step 5: Solve for x
   x = 24,027,170,049/102,384
6. Step 6: Final answer
   x = 234,677.00