Finding the Third Proportional to 191,280 and 280,776

Step by Step Solution

1. Step 1: Write the proportion equation
   191,280 : 280,776 = 280,776 : x
2. Step 2: Convert to fraction form
   191,280/280,776 = 280,776/x
3. Step 3: Cross multiply
   191,280x = 280,776 × 280,776
4. Step 4: Simplify right side
   191,280x = 78,835,162,176
5. Step 5: Solve for x
   x = 78,835,162,176/191,280
6. Step 6: Final answer
   x = 412,145.35