Finding the Third Proportional to 231,876 and 348,367.50

Step by Step Solution

1. Step 1: Write the proportion equation
   231,876 : 348,367.50 = 348,367.50 : x
2. Step 2: Convert to fraction form
   231,876/348,367.50 = 348,367.50/x
3. Step 3: Cross multiply
   231,876x = 348,367.50 × 348,367.50
4. Step 4: Simplify right side
   231,876x = 121,359,915,056.25
5. Step 5: Solve for x
   x = 121,359,915,056.25/231,876
6. Step 6: Final answer
   x = 523,382.82