Finding the Third Proportional to 86,722.50 and 189,321

Step by Step Solution

1. Step 1: Write the proportion equation
   86,722.50 : 189,321 = 189,321 : x
2. Step 2: Convert to fraction form
   86,722.50/189,321 = 189,321/x
3. Step 3: Cross multiply
   86,722.50x = 189,321 × 189,321
4. Step 4: Simplify right side
   86,722.50x = 35,842,441,041
5. Step 5: Solve for x
   x = 35,842,441,041/86,722.50
6. Step 6: Final answer
   x = 413,300.37