Finding the Third Proportional to 71,185.50 and 145,924.88

Step by Step Solution

1. Step 1: Write the proportion equation
   71,185.50 : 145,924.88 = 145,924.88 : x
2. Step 2: Convert to fraction form
   71,185.50/145,924.88 = 145,924.88/x
3. Step 3: Cross multiply
   71,185.50x = 145,924.88 × 145,924.88
4. Step 4: Simplify right side
   71,185.50x = 21,294,069,143.77
5. Step 5: Solve for x
   x = 21,294,069,143.77/71,185.50
6. Step 6: Final answer
   x = 299,134.92