Finding the Third Proportional to 82,172.50 and 117,426.75

Step by Step Solution

1. Step 1: Write the proportion equation
   82,172.50 : 117,426.75 = 117,426.75 : x
2. Step 2: Convert to fraction form
   82,172.50/117,426.75 = 117,426.75/x
3. Step 3: Cross multiply
   82,172.50x = 117,426.75 × 117,426.75
4. Step 4: Simplify right side
   82,172.50x = 13,789,041,615.56
5. Step 5: Solve for x
   x = 13,789,041,615.56/82,172.50
6. Step 6: Final answer
   x = 167,806.04