Finding the Third Proportional to 78,342 and 166,064.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,342 : 166,064.50 = 166,064.50 : x
2. Step 2: Convert to fraction form
   78,342/166,064.50 = 166,064.50/x
3. Step 3: Cross multiply
   78,342x = 166,064.50 × 166,064.50
4. Step 4: Simplify right side
   78,342x = 27,577,418,160.25
5. Step 5: Solve for x
   x = 27,577,418,160.25/78,342
6. Step 6: Final answer
   x = 352,013.20