Finding the Third Proportional to 78,948 and 166,765.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,948 : 166,765.50 = 166,765.50 : x
2. Step 2: Convert to fraction form
   78,948/166,765.50 = 166,765.50/x
3. Step 3: Cross multiply
   78,948x = 166,765.50 × 166,765.50
4. Step 4: Simplify right side
   78,948x = 27,810,731,990.25
5. Step 5: Solve for x
   x = 27,810,731,990.25/78,948
6. Step 6: Final answer
   x = 352,266.45