Finding the Third Proportional to 85,380 and 187,095

Step by Step Solution

1. Step 1: Write the proportion equation
   85,380 : 187,095 = 187,095 : x
2. Step 2: Convert to fraction form
   85,380/187,095 = 187,095/x
3. Step 3: Cross multiply
   85,380x = 187,095 × 187,095
4. Step 4: Simplify right side
   85,380x = 35,004,539,025
5. Step 5: Solve for x
   x = 35,004,539,025/85,380
6. Step 6: Final answer
   x = 409,985.23