Finding the Third Proportional to 78,165 and 166,050

Step by Step Solution

1. Step 1: Write the proportion equation
   78,165 : 166,050 = 166,050 : x
2. Step 2: Convert to fraction form
   78,165/166,050 = 166,050/x
3. Step 3: Cross multiply
   78,165x = 166,050 × 166,050
4. Step 4: Simplify right side
   78,165x = 27,572,602,500
5. Step 5: Solve for x
   x = 27,572,602,500/78,165
6. Step 6: Final answer
   x = 352,748.70