Finding the Third Proportional to 91,846 and 187,574

Step by Step Solution

1. Step 1: Write the proportion equation
   91,846 : 187,574 = 187,574 : x
2. Step 2: Convert to fraction form
   91,846/187,574 = 187,574/x
3. Step 3: Cross multiply
   91,846x = 187,574 × 187,574
4. Step 4: Simplify right side
   91,846x = 35,184,005,476
5. Step 5: Solve for x
   x = 35,184,005,476/91,846
6. Step 6: Final answer
   x = 383,076.08