Finding the Third Proportional to 75,225.50 and 181,252

Step by Step Solution

1. Step 1: Write the proportion equation
   75,225.50 : 181,252 = 181,252 : x
2. Step 2: Convert to fraction form
   75,225.50/181,252 = 181,252/x
3. Step 3: Cross multiply
   75,225.50x = 181,252 × 181,252
4. Step 4: Simplify right side
   75,225.50x = 32,852,287,504
5. Step 5: Solve for x
   x = 32,852,287,504/75,225.50
6. Step 6: Final answer
   x = 436,717.44