Finding the Third Proportional to 91,680 and 189,069

Step by Step Solution

1. Step 1: Write the proportion equation
   91,680 : 189,069 = 189,069 : x
2. Step 2: Convert to fraction form
   91,680/189,069 = 189,069/x
3. Step 3: Cross multiply
   91,680x = 189,069 × 189,069
4. Step 4: Simplify right side
   91,680x = 35,747,086,761
5. Step 5: Solve for x
   x = 35,747,086,761/91,680
6. Step 6: Final answer
   x = 389,911.50