Finding the Third Proportional to 89,359.50 and 191,674.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,359.50 : 191,674.50 = 191,674.50 : x
2. Step 2: Convert to fraction form
   89,359.50/191,674.50 = 191,674.50/x
3. Step 3: Cross multiply
   89,359.50x = 191,674.50 × 191,674.50
4. Step 4: Simplify right side
   89,359.50x = 36,739,113,950.25
5. Step 5: Solve for x
   x = 36,739,113,950.25/89,359.50
6. Step 6: Final answer
   x = 411,138.31