Finding the Third Proportional to 89,314 and 187,820

Step by Step Solution

1. Step 1: Write the proportion equation
   89,314 : 187,820 = 187,820 : x
2. Step 2: Convert to fraction form
   89,314/187,820 = 187,820/x
3. Step 3: Cross multiply
   89,314x = 187,820 × 187,820
4. Step 4: Simplify right side
   89,314x = 35,276,352,400
5. Step 5: Solve for x
   x = 35,276,352,400/89,314
6. Step 6: Final answer
   x = 394,970.02