Finding the Third Proportional to 83,178,216 and 185,481,684

Step by Step Solution

1. Step 1: Write the proportion equation
   83,178,216 : 185,481,684 = 185,481,684 : x
2. Step 2: Convert to fraction form
   83,178,216/185,481,684 = 185,481,684/x
3. Step 3: Cross multiply
   83,178,216x = 185,481,684 × 185,481,684
4. Step 4: Simplify right side
   83,178,216x = 34,403,455,099,475,856
5. Step 5: Solve for x
   x = 34,403,455,099,475,856/83,178,216
6. Step 6: Final answer
   x = 413,611,360.69