Finding the Third Proportional to 85,427 and 187,308

Step by Step Solution

1. Step 1: Write the proportion equation
   85,427 : 187,308 = 187,308 : x
2. Step 2: Convert to fraction form
   85,427/187,308 = 187,308/x
3. Step 3: Cross multiply
   85,427x = 187,308 × 187,308
4. Step 4: Simplify right side
   85,427x = 35,084,286,864
5. Step 5: Solve for x
   x = 35,084,286,864/85,427
6. Step 6: Final answer
   x = 410,693.19