Finding the Third Proportional to 86,904 and 189,522

Step by Step Solution

1. Step 1: Write the proportion equation
   86,904 : 189,522 = 189,522 : x
2. Step 2: Convert to fraction form
   86,904/189,522 = 189,522/x
3. Step 3: Cross multiply
   86,904x = 189,522 × 189,522
4. Step 4: Simplify right side
   86,904x = 35,918,588,484
5. Step 5: Solve for x
   x = 35,918,588,484/86,904
6. Step 6: Final answer
   x = 413,313.41