Finding the Third Proportional to 133,786.50 and 183,456

Step by Step Solution

1. Step 1: Write the proportion equation
   133,786.50 : 183,456 = 183,456 : x
2. Step 2: Convert to fraction form
   133,786.50/183,456 = 183,456/x
3. Step 3: Cross multiply
   133,786.50x = 183,456 × 183,456
4. Step 4: Simplify right side
   133,786.50x = 33,656,103,936
5. Step 5: Solve for x
   x = 33,656,103,936/133,786.50
6. Step 6: Final answer
   x = 251,565.77