Finding the Third Proportional to 123,688.69 and 185,209.03

Step by Step Solution

1. Step 1: Write the proportion equation
   123,688.69 : 185,209.03 = 185,209.03 : x
2. Step 2: Convert to fraction form
   123,688.69/185,209.03 = 185,209.03/x
3. Step 3: Cross multiply
   123,688.69x = 185,209.03 × 185,209.03
4. Step 4: Simplify right side
   123,688.69x = 34,302,385,256.56
5. Step 5: Solve for x
   x = 34,302,385,256.56/123,688.69
6. Step 6: Final answer
   x = 277,328.40