Finding the Third Proportional to 85,775.50 and 189,002

Step by Step Solution

1. Step 1: Write the proportion equation
   85,775.50 : 189,002 = 189,002 : x
2. Step 2: Convert to fraction form
   85,775.50/189,002 = 189,002/x
3. Step 3: Cross multiply
   85,775.50x = 189,002 × 189,002
4. Step 4: Simplify right side
   85,775.50x = 35,721,756,004
5. Step 5: Solve for x
   x = 35,721,756,004/85,775.50
6. Step 6: Final answer
   x = 416,456.40