Finding the Third Proportional to 87,696 and 189,404.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,696 : 189,404.50 = 189,404.50 : x
2. Step 2: Convert to fraction form
   87,696/189,404.50 = 189,404.50/x
3. Step 3: Cross multiply
   87,696x = 189,404.50 × 189,404.50
4. Step 4: Simplify right side
   87,696x = 35,874,064,620.25
5. Step 5: Solve for x
   x = 35,874,064,620.25/87,696
6. Step 6: Final answer
   x = 409,072.99