Finding the Third Proportional to 34,888,243,142 and 76,090,891,124

Step by Step Solution

1. Step 1: Write the proportion equation
   34,888,243,142 : 76,090,891,124 = 76,090,891,124 : x
2. Step 2: Convert to fraction form
   34,888,243,142/76,090,891,124 = 76,090,891,124/x
3. Step 3: Cross multiply
   34,888,243,142x = 76,090,891,124 × 76,090,891,124
4. Step 4: Simplify right side
   34,888,243,142x = 5,789,823,712,044,422,004,736
5. Step 5: Solve for x
   x = 5,789,823,712,044,422,004,736/34,888,243,142
6. Step 6: Final answer
   x = 165,953,432,750.37