Finding the Third Proportional to 123,750 and 185,301

Step by Step Solution

1. Step 1: Write the proportion equation
   123,750 : 185,301 = 185,301 : x
2. Step 2: Convert to fraction form
   123,750/185,301 = 185,301/x
3. Step 3: Cross multiply
   123,750x = 185,301 × 185,301
4. Step 4: Simplify right side
   123,750x = 34,336,460,601
5. Step 5: Solve for x
   x = 34,336,460,601/123,750
6. Step 6: Final answer
   x = 277,466.35