Finding the Third Proportional to 326,876,664,078 and 460,113,788,259

Step by Step Solution

1. Step 1: Write the proportion equation
   326,876,664,078 : 460,113,788,259 = 460,113,788,259 : x
2. Step 2: Convert to fraction form
   326,876,664,078/460,113,788,259 = 460,113,788,259/x
3. Step 3: Cross multiply
   326,876,664,078x = 460,113,788,259 × 460,113,788,259
4. Step 4: Simplify right side
   326,876,664,078x = 211,704,698,146,047,878,234,112
5. Step 5: Solve for x
   x = 211,704,698,146,047,878,234,112/326,876,664,078
6. Step 6: Final answer
   x = 647,659,259,320.91