Finding the Third Proportional to 89,936,864,784 and 199,982,328,434

Step by Step Solution

1. Step 1: Write the proportion equation
   89,936,864,784 : 199,982,328,434 = 199,982,328,434 : x
2. Step 2: Convert to fraction form
   89,936,864,784/199,982,328,434 = 199,982,328,434/x
3. Step 3: Cross multiply
   89,936,864,784x = 199,982,328,434 × 199,982,328,434
4. Step 4: Simplify right side
   89,936,864,784x = 39,992,931,685,884,244,262,912
5. Step 5: Solve for x
   x = 39,992,931,685,884,244,262,912/89,936,864,784
6. Step 6: Final answer
   x = 444,677,850,200.08