Finding the Third Proportional to 71,410.50 and 166,892.63

Step by Step Solution

1. Step 1: Write the proportion equation
   71,410.50 : 166,892.63 = 166,892.63 : x
2. Step 2: Convert to fraction form
   71,410.50/166,892.63 = 166,892.63/x
3. Step 3: Cross multiply
   71,410.50x = 166,892.63 × 166,892.63
4. Step 4: Simplify right side
   71,410.50x = 27,853,148,279.39
5. Step 5: Solve for x
   x = 27,853,148,279.39/71,410.50
6. Step 6: Final answer
   x = 390,042.76