Finding the Third Proportional to 102,388 and 152,793

Step by Step Solution

1. Step 1: Write the proportion equation
   102,388 : 152,793 = 152,793 : x
2. Step 2: Convert to fraction form
   102,388/152,793 = 152,793/x
3. Step 3: Cross multiply
   102,388x = 152,793 × 152,793
4. Step 4: Simplify right side
   102,388x = 23,345,700,849
5. Step 5: Solve for x
   x = 23,345,700,849/102,388
6. Step 6: Final answer
   x = 228,012.08