Finding the Third Proportional to 399,064,369,407 and 826,415,817,527

Step by Step Solution

1. Step 1: Write the proportion equation
   399,064,369,407 : 826,415,817,527 = 826,415,817,527 : x
2. Step 2: Convert to fraction form
   399,064,369,407/826,415,817,527 = 826,415,817,527/x
3. Step 3: Cross multiply
   399,064,369,407x = 826,415,817,527 × 826,415,817,527
4. Step 4: Simplify right side
   399,064,369,407x = 682,963,103,458,819,825,467,392
5. Step 5: Solve for x
   x = 682,963,103,458,819,825,467,392/399,064,369,407
6. Step 6: Final answer
   x = 1,711,410,879,587.39