Finding the Third Proportional to 254,797,564,798 and 381,823,629,835

Step by Step Solution

1. Step 1: Write the proportion equation
   254,797,564,798 : 381,823,629,835 = 381,823,629,835 : x
2. Step 2: Convert to fraction form
   254,797,564,798/381,823,629,835 = 381,823,629,835/x
3. Step 3: Cross multiply
   254,797,564,798x = 381,823,629,835 × 381,823,629,835
4. Step 4: Simplify right side
   254,797,564,798x = 145,789,284,300,375,097,081,856
5. Step 5: Solve for x
   x = 145,789,284,300,375,097,081,856/254,797,564,798
6. Step 6: Final answer
   x = 572,176,913,919.70