Finding the Third Proportional to 99,429 and 150,591

Step by Step Solution

1. Step 1: Write the proportion equation
   99,429 : 150,591 = 150,591 : x
2. Step 2: Convert to fraction form
   99,429/150,591 = 150,591/x
3. Step 3: Cross multiply
   99,429x = 150,591 × 150,591
4. Step 4: Simplify right side
   99,429x = 22,677,649,281
5. Step 5: Solve for x
   x = 22,677,649,281/99,429
6. Step 6: Final answer
   x = 228,078.82