Finding the Third Proportional to 85,497 and 185,484

Step by Step Solution

1. Step 1: Write the proportion equation
   85,497 : 185,484 = 185,484 : x
2. Step 2: Convert to fraction form
   85,497/185,484 = 185,484/x
3. Step 3: Cross multiply
   85,497x = 185,484 × 185,484
4. Step 4: Simplify right side
   85,497x = 34,404,314,256
5. Step 5: Solve for x
   x = 34,404,314,256/85,497
6. Step 6: Final answer
   x = 402,403.76