Finding the Third Proportional to 87,697 and 189,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,697 : 189,406.50 = 189,406.50 : x
2. Step 2: Convert to fraction form
   87,697/189,406.50 = 189,406.50/x
3. Step 3: Cross multiply
   87,697x = 189,406.50 × 189,406.50
4. Step 4: Simplify right side
   87,697x = 35,874,822,242.25
5. Step 5: Solve for x
   x = 35,874,822,242.25/87,697
6. Step 6: Final answer
   x = 409,076.96