Finding the Third Proportional to 99,576 and 152,400

Step by Step Solution

1. Step 1: Write the proportion equation
   99,576 : 152,400 = 152,400 : x
2. Step 2: Convert to fraction form
   99,576/152,400 = 152,400/x
3. Step 3: Cross multiply
   99,576x = 152,400 × 152,400
4. Step 4: Simplify right side
   99,576x = 23,225,760,000
5. Step 5: Solve for x
   x = 23,225,760,000/99,576
6. Step 6: Final answer
   x = 233,246.57