Finding the Third Proportional to 120,385.88 and 186,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,385.88 : 186,665.50 = 186,665.50 : x
2. Step 2: Convert to fraction form
   120,385.88/186,665.50 = 186,665.50/x
3. Step 3: Cross multiply
   120,385.88x = 186,665.50 × 186,665.50
4. Step 4: Simplify right side
   120,385.88x = 34,844,008,890.25
5. Step 5: Solve for x
   x = 34,844,008,890.25/120,385.88
6. Step 6: Final answer
   x = 289,436.02