Finding the Third Proportional to 85,946 and 189,328

Step by Step Solution

1. Step 1: Write the proportion equation
   85,946 : 189,328 = 189,328 : x
2. Step 2: Convert to fraction form
   85,946/189,328 = 189,328/x
3. Step 3: Cross multiply
   85,946x = 189,328 × 189,328
4. Step 4: Simplify right side
   85,946x = 35,845,091,584
5. Step 5: Solve for x
   x = 35,845,091,584/85,946
6. Step 6: Final answer
   x = 417,065.27