Finding the Third Proportional to 123,180.75 and 185,319

Step by Step Solution

1. Step 1: Write the proportion equation
   123,180.75 : 185,319 = 185,319 : x
2. Step 2: Convert to fraction form
   123,180.75/185,319 = 185,319/x
3. Step 3: Cross multiply
   123,180.75x = 185,319 × 185,319
4. Step 4: Simplify right side
   123,180.75x = 34,343,131,761
5. Step 5: Solve for x
   x = 34,343,131,761/123,180.75
6. Step 6: Final answer
   x = 278,802.75