Finding the Third Proportional to 78,374.50 and 166,064

Step by Step Solution

1. Step 1: Write the proportion equation
   78,374.50 : 166,064 = 166,064 : x
2. Step 2: Convert to fraction form
   78,374.50/166,064 = 166,064/x
3. Step 3: Cross multiply
   78,374.50x = 166,064 × 166,064
4. Step 4: Simplify right side
   78,374.50x = 27,577,252,096
5. Step 5: Solve for x
   x = 27,577,252,096/78,374.50
6. Step 6: Final answer
   x = 351,865.11