Finding the Third Proportional to 120,500 and 186,808.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,500 : 186,808.50 = 186,808.50 : x
2. Step 2: Convert to fraction form
   120,500/186,808.50 = 186,808.50/x
3. Step 3: Cross multiply
   120,500x = 186,808.50 × 186,808.50
4. Step 4: Simplify right side
   120,500x = 34,897,415,672.25
5. Step 5: Solve for x
   x = 34,897,415,672.25/120,500
6. Step 6: Final answer
   x = 289,605.11