Finding the Third Proportional to 123,570 and 185,787

Step by Step Solution

1. Step 1: Write the proportion equation
   123,570 : 185,787 = 185,787 : x
2. Step 2: Convert to fraction form
   123,570/185,787 = 185,787/x
3. Step 3: Cross multiply
   123,570x = 185,787 × 185,787
4. Step 4: Simplify right side
   123,570x = 34,516,809,369
5. Step 5: Solve for x
   x = 34,516,809,369/123,570
6. Step 6: Final answer
   x = 279,330.01