Finding the Third Proportional to 150,804,416,382 and 224,898,866,289

Step by Step Solution

1. Step 1: Write the proportion equation
   150,804,416,382 : 224,898,866,289 = 224,898,866,289 : x
2. Step 2: Convert to fraction form
   150,804,416,382/224,898,866,289 = 224,898,866,289/x
3. Step 3: Cross multiply
   150,804,416,382x = 224,898,866,289 × 224,898,866,289
4. Step 4: Simplify right side
   150,804,416,382x = 50,579,500,058,077,502,111,744
5. Step 5: Solve for x
   x = 50,579,500,058,077,502,111,744/150,804,416,382
6. Step 6: Final answer
   x = 335,398,002,734.59