Finding the Third Proportional to 71,091 and 108,172.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,091 : 108,172.50 = 108,172.50 : x
2. Step 2: Convert to fraction form
   71,091/108,172.50 = 108,172.50/x
3. Step 3: Cross multiply
   71,091x = 108,172.50 × 108,172.50
4. Step 4: Simplify right side
   71,091x = 11,701,289,756.25
5. Step 5: Solve for x
   x = 11,701,289,756.25/71,091
6. Step 6: Final answer
   x = 164,595.94