Finding the Third Proportional to 91,674 and 189,058.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,674 : 189,058.50 = 189,058.50 : x
2. Step 2: Convert to fraction form
   91,674/189,058.50 = 189,058.50/x
3. Step 3: Cross multiply
   91,674x = 189,058.50 × 189,058.50
4. Step 4: Simplify right side
   91,674x = 35,743,116,422.25
5. Step 5: Solve for x
   x = 35,743,116,422.25/91,674
6. Step 6: Final answer
   x = 389,893.71