Finding the Third Proportional to 71,178 and 145,909.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,178 : 145,909.50 = 145,909.50 : x
2. Step 2: Convert to fraction form
   71,178/145,909.50 = 145,909.50/x
3. Step 3: Cross multiply
   71,178x = 145,909.50 × 145,909.50
4. Step 4: Simplify right side
   71,178x = 21,289,582,190.25
5. Step 5: Solve for x
   x = 21,289,582,190.25/71,178
6. Step 6: Final answer
   x = 299,103.41