Finding the Third Proportional to 120,853 and 169,885.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,853 : 169,885.50 = 169,885.50 : x
2. Step 2: Convert to fraction form
   120,853/169,885.50 = 169,885.50/x
3. Step 3: Cross multiply
   120,853x = 169,885.50 × 169,885.50
4. Step 4: Simplify right side
   120,853x = 28,861,083,110.25
5. Step 5: Solve for x
   x = 28,861,083,110.25/120,853
6. Step 6: Final answer
   x = 238,811.47