Finding the Third Proportional to 87,667 and 191,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   87,667 : 191,736.50 = 191,736.50 : x
2. Step 2: Convert to fraction form
   87,667/191,736.50 = 191,736.50/x
3. Step 3: Cross multiply
   87,667x = 191,736.50 × 191,736.50
4. Step 4: Simplify right side
   87,667x = 36,762,885,432.25
5. Step 5: Solve for x
   x = 36,762,885,432.25/87,667
6. Step 6: Final answer
   x = 419,346.91