Finding the Third Proportional to 85,776.50 and 189,004

Step by Step Solution

1. Step 1: Write the proportion equation
   85,776.50 : 189,004 = 189,004 : x
2. Step 2: Convert to fraction form
   85,776.50/189,004 = 189,004/x
3. Step 3: Cross multiply
   85,776.50x = 189,004 × 189,004
4. Step 4: Simplify right side
   85,776.50x = 35,722,512,016
5. Step 5: Solve for x
   x = 35,722,512,016/85,776.50
6. Step 6: Final answer
   x = 416,460.36