Finding the Third Proportional to 175,178.50 and 267,142

Step by Step Solution

1. Step 1: Write the proportion equation
   175,178.50 : 267,142 = 267,142 : x
2. Step 2: Convert to fraction form
   175,178.50/267,142 = 267,142/x
3. Step 3: Cross multiply
   175,178.50x = 267,142 × 267,142
4. Step 4: Simplify right side
   175,178.50x = 71,364,848,164
5. Step 5: Solve for x
   x = 71,364,848,164/175,178.50
6. Step 6: Final answer
   x = 407,383.60