Finding the Third Proportional to 71,596 and 141,384.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,596 : 141,384.50 = 141,384.50 : x
2. Step 2: Convert to fraction form
   71,596/141,384.50 = 141,384.50/x
3. Step 3: Cross multiply
   71,596x = 141,384.50 × 141,384.50
4. Step 4: Simplify right side
   71,596x = 19,989,576,840.25
5. Step 5: Solve for x
   x = 19,989,576,840.25/71,596
6. Step 6: Final answer
   x = 279,199.63