Finding the Third Proportional to 99,776 and 152,544

Step by Step Solution

1. Step 1: Write the proportion equation
   99,776 : 152,544 = 152,544 : x
2. Step 2: Convert to fraction form
   99,776/152,544 = 152,544/x
3. Step 3: Cross multiply
   99,776x = 152,544 × 152,544
4. Step 4: Simplify right side
   99,776x = 23,269,671,936
5. Step 5: Solve for x
   x = 23,269,671,936/99,776
6. Step 6: Final answer
   x = 233,219.13