Finding the Third Proportional to 201,072,555,174 and 299,865,155,049

Step by Step Solution

1. Step 1: Write the proportion equation
   201,072,555,174 : 299,865,155,049 = 299,865,155,049 : x
2. Step 2: Convert to fraction form
   201,072,555,174/299,865,155,049 = 299,865,155,049/x
3. Step 3: Cross multiply
   201,072,555,174x = 299,865,155,049 × 299,865,155,049
4. Step 4: Simplify right side
   201,072,555,174x = 89,919,111,212,560,805,789,696
5. Step 5: Solve for x
   x = 89,919,111,212,560,805,789,696/201,072,555,174
6. Step 6: Final answer
   x = 447,197,336,974.95