Finding the Third Proportional to 78,849 and 182,353.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,849 : 182,353.50 = 182,353.50 : x
2. Step 2: Convert to fraction form
   78,849/182,353.50 = 182,353.50/x
3. Step 3: Cross multiply
   78,849x = 182,353.50 × 182,353.50
4. Step 4: Simplify right side
   78,849x = 33,252,798,962.25
5. Step 5: Solve for x
   x = 33,252,798,962.25/78,849
6. Step 6: Final answer
   x = 421,727.59