Finding the Third Proportional to 85,598 and 190,864

Step by Step Solution

1. Step 1: Write the proportion equation
   85,598 : 190,864 = 190,864 : x
2. Step 2: Convert to fraction form
   85,598/190,864 = 190,864/x
3. Step 3: Cross multiply
   85,598x = 190,864 × 190,864
4. Step 4: Simplify right side
   85,598x = 36,429,066,496
5. Step 5: Solve for x
   x = 36,429,066,496/85,598
6. Step 6: Final answer
   x = 425,583.15