Finding the Third Proportional to 99,624 and 152,328

Step by Step Solution

1. Step 1: Write the proportion equation
   99,624 : 152,328 = 152,328 : x
2. Step 2: Convert to fraction form
   99,624/152,328 = 152,328/x
3. Step 3: Cross multiply
   99,624x = 152,328 × 152,328
4. Step 4: Simplify right side
   99,624x = 23,203,819,584
5. Step 5: Solve for x
   x = 23,203,819,584/99,624
6. Step 6: Final answer
   x = 232,913.95