Finding the Third Proportional to 120,172.50 and 186,822

Step by Step Solution

1. Step 1: Write the proportion equation
   120,172.50 : 186,822 = 186,822 : x
2. Step 2: Convert to fraction form
   120,172.50/186,822 = 186,822/x
3. Step 3: Cross multiply
   120,172.50x = 186,822 × 186,822
4. Step 4: Simplify right side
   120,172.50x = 34,902,459,684
5. Step 5: Solve for x
   x = 34,902,459,684/120,172.50
6. Step 6: Final answer
   x = 290,436.33