Finding the Third Proportional to 128,865,831,116 and 261,406,111,734

Step by Step Solution

1. Step 1: Write the proportion equation
   128,865,831,116 : 261,406,111,734 = 261,406,111,734 : x
2. Step 2: Convert to fraction form
   128,865,831,116/261,406,111,734 = 261,406,111,734/x
3. Step 3: Cross multiply
   128,865,831,116x = 261,406,111,734 × 261,406,111,734
4. Step 4: Simplify right side
   128,865,831,116x = 68,333,155,251,888,494,477,312
5. Step 5: Solve for x
   x = 68,333,155,251,888,494,477,312/128,865,831,116
6. Step 6: Final answer
   x = 530,265,894,846.69