Finding the Third Proportional to 252,885,952,684 and 546,077,540,648

Step by Step Solution

1. Step 1: Write the proportion equation
   252,885,952,684 : 546,077,540,648 = 546,077,540,648 : x
2. Step 2: Convert to fraction form
   252,885,952,684/546,077,540,648 = 546,077,540,648/x
3. Step 3: Cross multiply
   252,885,952,684x = 546,077,540,648 × 546,077,540,648
4. Step 4: Simplify right side
   252,885,952,684x = 298,200,680,400,168,081,686,528
5. Step 5: Solve for x
   x = 298,200,680,400,168,081,686,528/252,885,952,684
6. Step 6: Final answer
   x = 1,179,190,371,134.58