Finding the Third Proportional to 71,349 and 109,706

Step by Step Solution

1. Step 1: Write the proportion equation
   71,349 : 109,706 = 109,706 : x
2. Step 2: Convert to fraction form
   71,349/109,706 = 109,706/x
3. Step 3: Cross multiply
   71,349x = 109,706 × 109,706
4. Step 4: Simplify right side
   71,349x = 12,035,406,436
5. Step 5: Solve for x
   x = 12,035,406,436/71,349
6. Step 6: Final answer
   x = 168,683.60