Finding the Third Proportional to 99,624 and 152,028

Step by Step Solution

1. Step 1: Write the proportion equation
   99,624 : 152,028 = 152,028 : x
2. Step 2: Convert to fraction form
   99,624/152,028 = 152,028/x
3. Step 3: Cross multiply
   99,624x = 152,028 × 152,028
4. Step 4: Simplify right side
   99,624x = 23,112,512,784
5. Step 5: Solve for x
   x = 23,112,512,784/99,624
6. Step 6: Final answer
   x = 231,997.44