Finding the Third Proportional to 87,776 and 187,216

Step by Step Solution

1. Step 1: Write the proportion equation
   87,776 : 187,216 = 187,216 : x
2. Step 2: Convert to fraction form
   87,776/187,216 = 187,216/x
3. Step 3: Cross multiply
   87,776x = 187,216 × 187,216
4. Step 4: Simplify right side
   87,776x = 35,049,830,656
5. Step 5: Solve for x
   x = 35,049,830,656/87,776
6. Step 6: Final answer
   x = 399,309.96