Finding the Third Proportional to 137,076 and 205,616

Step by Step Solution

1. Step 1: Write the proportion equation
   137,076 : 205,616 = 205,616 : x
2. Step 2: Convert to fraction form
   137,076/205,616 = 205,616/x
3. Step 3: Cross multiply
   137,076x = 205,616 × 205,616
4. Step 4: Simplify right side
   137,076x = 42,277,939,456
5. Step 5: Solve for x
   x = 42,277,939,456/137,076
6. Step 6: Final answer
   x = 308,427.00