Finding the Third Proportional to 137,537,290 and 205,761,314

Step by Step Solution

1. Step 1: Write the proportion equation
   137,537,290 : 205,761,314 = 205,761,314 : x
2. Step 2: Convert to fraction form
   137,537,290/205,761,314 = 205,761,314/x
3. Step 3: Cross multiply
   137,537,290x = 205,761,314 × 205,761,314
4. Step 4: Simplify right side
   137,537,290x = 42,337,718,339,006,592
5. Step 5: Solve for x
   x = 42,337,718,339,006,592/137,537,290
6. Step 6: Final answer
   x = 307,827,196.09