Finding the Third Proportional to 102,110 and 152,549

Step by Step Solution

1. Step 1: Write the proportion equation
   102,110 : 152,549 = 152,549 : x
2. Step 2: Convert to fraction form
   102,110/152,549 = 152,549/x
3. Step 3: Cross multiply
   102,110x = 152,549 × 152,549
4. Step 4: Simplify right side
   102,110x = 23,271,197,401
5. Step 5: Solve for x
   x = 23,271,197,401/102,110
6. Step 6: Final answer
   x = 227,903.22