Finding the Third Proportional to 123,373 and 185,971.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,373 : 185,971.50 = 185,971.50 : x
2. Step 2: Convert to fraction form
   123,373/185,971.50 = 185,971.50/x
3. Step 3: Cross multiply
   123,373x = 185,971.50 × 185,971.50
4. Step 4: Simplify right side
   123,373x = 34,585,398,812.25
5. Step 5: Solve for x
   x = 34,585,398,812.25/123,373
6. Step 6: Final answer
   x = 280,331.99