Finding the Third Proportional to 86,572 and 189,032

Step by Step Solution

1. Step 1: Write the proportion equation
   86,572 : 189,032 = 189,032 : x
2. Step 2: Convert to fraction form
   86,572/189,032 = 189,032/x
3. Step 3: Cross multiply
   86,572x = 189,032 × 189,032
4. Step 4: Simplify right side
   86,572x = 35,733,097,024
5. Step 5: Solve for x
   x = 35,733,097,024/86,572
6. Step 6: Final answer
   x = 412,755.82