Finding the Third Proportional to 208,154,641,769 and 280,849,485,320

Step by Step Solution

1. Step 1: Write the proportion equation
   208,154,641,769 : 280,849,485,320 = 280,849,485,320 : x
2. Step 2: Convert to fraction form
   208,154,641,769/280,849,485,320 = 280,849,485,320/x
3. Step 3: Cross multiply
   208,154,641,769x = 280,849,485,320 × 280,849,485,320
4. Step 4: Simplify right side
   208,154,641,769x = 78,876,433,404,508,900,425,728
5. Step 5: Solve for x
   x = 78,876,433,404,508,900,425,728/208,154,641,769
6. Step 6: Final answer
   x = 378,931,897,622.74