Finding the Third Proportional to 133,786 and 183,455.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,786 : 183,455.50 = 183,455.50 : x
2. Step 2: Convert to fraction form
   133,786/183,455.50 = 183,455.50/x
3. Step 3: Cross multiply
   133,786x = 183,455.50 × 183,455.50
4. Step 4: Simplify right side
   133,786x = 33,655,920,480.25
5. Step 5: Solve for x
   x = 33,655,920,480.25/133,786
6. Step 6: Final answer
   x = 251,565.34