Finding the Third Proportional to 505,172 and 780,274

Step by Step Solution

1. Step 1: Write the proportion equation
   505,172 : 780,274 = 780,274 : x
2. Step 2: Convert to fraction form
   505,172/780,274 = 780,274/x
3. Step 3: Cross multiply
   505,172x = 780,274 × 780,274
4. Step 4: Simplify right side
   505,172x = 608,827,515,076
5. Step 5: Solve for x
   x = 608,827,515,076/505,172
6. Step 6: Final answer
   x = 1,205,188.56