Finding the Third Proportional to 123,538.50 and 186,325.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,538.50 : 186,325.50 = 186,325.50 : x
2. Step 2: Convert to fraction form
   123,538.50/186,325.50 = 186,325.50/x
3. Step 3: Cross multiply
   123,538.50x = 186,325.50 × 186,325.50
4. Step 4: Simplify right side
   123,538.50x = 34,717,191,950.25
5. Step 5: Solve for x
   x = 34,717,191,950.25/123,538.50
6. Step 6: Final answer
   x = 281,023.26