Finding the Third Proportional to 123,376.50 and 185,975.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,376.50 : 185,975.25 = 185,975.25 : x
2. Step 2: Convert to fraction form
   123,376.50/185,975.25 = 185,975.25/x
3. Step 3: Cross multiply
   123,376.50x = 185,975.25 × 185,975.25
4. Step 4: Simplify right side
   123,376.50x = 34,586,793,612.56
5. Step 5: Solve for x
   x = 34,586,793,612.56/123,376.50
6. Step 6: Final answer
   x = 280,335.34