Finding the Third Proportional to 120,231 and 187,624.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,231 : 187,624.50 = 187,624.50 : x
2. Step 2: Convert to fraction form
   120,231/187,624.50 = 187,624.50/x
3. Step 3: Cross multiply
   120,231x = 187,624.50 × 187,624.50
4. Step 4: Simplify right side
   120,231x = 35,202,953,000.25
5. Step 5: Solve for x
   x = 35,202,953,000.25/120,231
6. Step 6: Final answer
   x = 292,794.31