Finding the Third Proportional to 119,586 and 187,612.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,586 : 187,612.50 = 187,612.50 : x
2. Step 2: Convert to fraction form
   119,586/187,612.50 = 187,612.50/x
3. Step 3: Cross multiply
   119,586x = 187,612.50 × 187,612.50
4. Step 4: Simplify right side
   119,586x = 35,198,450,156.25
5. Step 5: Solve for x
   x = 35,198,450,156.25/119,586
6. Step 6: Final answer
   x = 294,335.88