Finding the Third Proportional to 86,037.19 and 123,914.81

Step by Step Solution

1. Step 1: Write the proportion equation
   86,037.19 : 123,914.81 = 123,914.81 : x
2. Step 2: Convert to fraction form
   86,037.19/123,914.81 = 123,914.81/x
3. Step 3: Cross multiply
   86,037.19x = 123,914.81 × 123,914.81
4. Step 4: Simplify right side
   86,037.19x = 15,354,880,756.91
5. Step 5: Solve for x
   x = 15,354,880,756.91/86,037.19
6. Step 6: Final answer
   x = 178,467.95