Finding the Third Proportional to 191,286 and 280,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   191,286 : 280,784.50 = 280,784.50 : x
2. Step 2: Convert to fraction form
   191,286/280,784.50 = 280,784.50/x
3. Step 3: Cross multiply
   191,286x = 280,784.50 × 280,784.50
4. Step 4: Simplify right side
   191,286x = 78,839,935,440.25
5. Step 5: Solve for x
   x = 78,839,935,440.25/191,286
6. Step 6: Final answer
   x = 412,157.37