Finding the Third Proportional to 85,136 and 185,192

Step by Step Solution

1. Step 1: Write the proportion equation
   85,136 : 185,192 = 185,192 : x
2. Step 2: Convert to fraction form
   85,136/185,192 = 185,192/x
3. Step 3: Cross multiply
   85,136x = 185,192 × 185,192
4. Step 4: Simplify right side
   85,136x = 34,296,076,864
5. Step 5: Solve for x
   x = 34,296,076,864/85,136
6. Step 6: Final answer
   x = 402,838.72