Finding the Third Proportional to 71,654.86 and 146,419.37

Step by Step Solution

1. Step 1: Write the proportion equation
   71,654.86 : 146,419.37 = 146,419.37 : x
2. Step 2: Convert to fraction form
   71,654.86/146,419.37 = 146,419.37/x
3. Step 3: Cross multiply
   71,654.86x = 146,419.37 × 146,419.37
4. Step 4: Simplify right side
   71,654.86x = 21,438,630,515.64
5. Step 5: Solve for x
   x = 21,438,630,515.64/71,654.86
6. Step 6: Final answer
   x = 299,192.96