Finding the Third Proportional to 86,074.50 and 132,946.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,074.50 : 132,946.50 = 132,946.50 : x
2. Step 2: Convert to fraction form
   86,074.50/132,946.50 = 132,946.50/x
3. Step 3: Cross multiply
   86,074.50x = 132,946.50 × 132,946.50
4. Step 4: Simplify right side
   86,074.50x = 17,674,771,862.25
5. Step 5: Solve for x
   x = 17,674,771,862.25/86,074.50
6. Step 6: Final answer
   x = 205,342.72