Finding the Third Proportional to 71,656 and 156,056

Step by Step Solution

1. Step 1: Write the proportion equation
   71,656 : 156,056 = 156,056 : x
2. Step 2: Convert to fraction form
   71,656/156,056 = 156,056/x
3. Step 3: Cross multiply
   71,656x = 156,056 × 156,056
4. Step 4: Simplify right side
   71,656x = 24,353,475,136
5. Step 5: Solve for x
   x = 24,353,475,136/71,656
6. Step 6: Final answer
   x = 339,866.52