Finding the Third Proportional to 191,892 and 287,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   191,892 : 287,839.50 = 287,839.50 : x
2. Step 2: Convert to fraction form
   191,892/287,839.50 = 287,839.50/x
3. Step 3: Cross multiply
   191,892x = 287,839.50 × 287,839.50
4. Step 4: Simplify right side
   191,892x = 82,851,577,760.25
5. Step 5: Solve for x
   x = 82,851,577,760.25/191,892
6. Step 6: Final answer
   x = 431,761.50