Finding the Third Proportional to 119,606 and 187,650

Step by Step Solution

1. Step 1: Write the proportion equation
   119,606 : 187,650 = 187,650 : x
2. Step 2: Convert to fraction form
   119,606/187,650 = 187,650/x
3. Step 3: Cross multiply
   119,606x = 187,650 × 187,650
4. Step 4: Simplify right side
   119,606x = 35,212,522,500
5. Step 5: Solve for x
   x = 35,212,522,500/119,606
6. Step 6: Final answer
   x = 294,404.32