Finding the Third Proportional to 72,126 and 154,224

Step by Step Solution

1. Step 1: Write the proportion equation
   72,126 : 154,224 = 154,224 : x
2. Step 2: Convert to fraction form
   72,126/154,224 = 154,224/x
3. Step 3: Cross multiply
   72,126x = 154,224 × 154,224
4. Step 4: Simplify right side
   72,126x = 23,785,042,176
5. Step 5: Solve for x
   x = 23,785,042,176/72,126
6. Step 6: Final answer
   x = 329,770.71