Finding the Third Proportional to 267,776,807 and 413,783,067

Step by Step Solution

1. Step 1: Write the proportion equation
   267,776,807 : 413,783,067 = 413,783,067 : x
2. Step 2: Convert to fraction form
   267,776,807/413,783,067 = 413,783,067/x
3. Step 3: Cross multiply
   267,776,807x = 413,783,067 × 413,783,067
4. Step 4: Simplify right side
   267,776,807x = 171,216,426,535,926,496
5. Step 5: Solve for x
   x = 171,216,426,535,926,496/267,776,807
6. Step 6: Final answer
   x = 639,399,761.52