Finding the Third Proportional to 84,620 and 188,152

Step by Step Solution

1. Step 1: Write the proportion equation
   84,620 : 188,152 = 188,152 : x
2. Step 2: Convert to fraction form
   84,620/188,152 = 188,152/x
3. Step 3: Cross multiply
   84,620x = 188,152 × 188,152
4. Step 4: Simplify right side
   84,620x = 35,401,175,104
5. Step 5: Solve for x
   x = 35,401,175,104/84,620
6. Step 6: Final answer
   x = 418,354.70