Finding the Third Proportional to 89,712 and 194,688

Step by Step Solution

1. Step 1: Write the proportion equation
   89,712 : 194,688 = 194,688 : x
2. Step 2: Convert to fraction form
   89,712/194,688 = 194,688/x
3. Step 3: Cross multiply
   89,712x = 194,688 × 194,688
4. Step 4: Simplify right side
   89,712x = 37,903,417,344
5. Step 5: Solve for x
   x = 37,903,417,344/89,712
6. Step 6: Final answer
   x = 422,501.09