Finding the Third Proportional to 123,606 and 185,530.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,606 : 185,530.50 = 185,530.50 : x
2. Step 2: Convert to fraction form
   123,606/185,530.50 = 185,530.50/x
3. Step 3: Cross multiply
   123,606x = 185,530.50 × 185,530.50
4. Step 4: Simplify right side
   123,606x = 34,421,566,430.25
5. Step 5: Solve for x
   x = 34,421,566,430.25/123,606
6. Step 6: Final answer
   x = 278,478.12