Finding the Third Proportional to 89,136 and 191,712

Step by Step Solution

1. Step 1: Write the proportion equation
   89,136 : 191,712 = 191,712 : x
2. Step 2: Convert to fraction form
   89,136/191,712 = 191,712/x
3. Step 3: Cross multiply
   89,136x = 191,712 × 191,712
4. Step 4: Simplify right side
   89,136x = 36,753,490,944
5. Step 5: Solve for x
   x = 36,753,490,944/89,136
6. Step 6: Final answer
   x = 412,330.49