Finding the Third Proportional to 137,169 and 205,752

Step by Step Solution

1. Step 1: Write the proportion equation
   137,169 : 205,752 = 205,752 : x
2. Step 2: Convert to fraction form
   137,169/205,752 = 205,752/x
3. Step 3: Cross multiply
   137,169x = 205,752 × 205,752
4. Step 4: Simplify right side
   137,169x = 42,333,885,504
5. Step 5: Solve for x
   x = 42,333,885,504/137,169
6. Step 6: Final answer
   x = 308,625.75