Finding the Third Proportional to 152,856 and 203,863.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,856 : 203,863.50 = 203,863.50 : x
2. Step 2: Convert to fraction form
   152,856/203,863.50 = 203,863.50/x
3. Step 3: Cross multiply
   152,856x = 203,863.50 × 203,863.50
4. Step 4: Simplify right side
   152,856x = 41,560,326,632.25
5. Step 5: Solve for x
   x = 41,560,326,632.25/152,856
6. Step 6: Final answer
   x = 271,892.02