Finding the Third Proportional to 86,461 and 132,315.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,461 : 132,315.50 = 132,315.50 : x
2. Step 2: Convert to fraction form
   86,461/132,315.50 = 132,315.50/x
3. Step 3: Cross multiply
   86,461x = 132,315.50 × 132,315.50
4. Step 4: Simplify right side
   86,461x = 17,507,391,540.25
5. Step 5: Solve for x
   x = 17,507,391,540.25/86,461
6. Step 6: Final answer
   x = 202,488.89