Finding the Third Proportional to 78,459 and 161,052.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,459 : 161,052.50 = 161,052.50 : x
2. Step 2: Convert to fraction form
   78,459/161,052.50 = 161,052.50/x
3. Step 3: Cross multiply
   78,459x = 161,052.50 × 161,052.50
4. Step 4: Simplify right side
   78,459x = 25,937,907,756.25
5. Step 5: Solve for x
   x = 25,937,907,756.25/78,459
6. Step 6: Final answer
   x = 330,591.87