Finding the Third Proportional to 286,969,900,274 and 616,527,057,521

Step by Step Solution

1. Step 1: Write the proportion equation
   286,969,900,274 : 616,527,057,521 = 616,527,057,521 : x
2. Step 2: Convert to fraction form
   286,969,900,274/616,527,057,521 = 616,527,057,521/x
3. Step 3: Cross multiply
   286,969,900,274x = 616,527,057,521 × 616,527,057,521
4. Step 4: Simplify right side
   286,969,900,274x = 380,105,612,655,502,471,200,768
5. Step 5: Solve for x
   x = 380,105,612,655,502,471,200,768/286,969,900,274
6. Step 6: Final answer
   x = 1,324,548,715,013.58