Finding the Third Proportional to 123,724 and 185,584

Step by Step Solution

1. Step 1: Write the proportion equation
   123,724 : 185,584 = 185,584 : x
2. Step 2: Convert to fraction form
   123,724/185,584 = 185,584/x
3. Step 3: Cross multiply
   123,724x = 185,584 × 185,584
4. Step 4: Simplify right side
   123,724x = 34,441,421,056
5. Step 5: Solve for x
   x = 34,441,421,056/123,724
6. Step 6: Final answer
   x = 278,373.00