Finding the Third Proportional to 83,049.75 and 177,172.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,049.75 : 177,172.50 = 177,172.50 : x
2. Step 2: Convert to fraction form
   83,049.75/177,172.50 = 177,172.50/x
3. Step 3: Cross multiply
   83,049.75x = 177,172.50 × 177,172.50
4. Step 4: Simplify right side
   83,049.75x = 31,390,094,756.25
5. Step 5: Solve for x
   x = 31,390,094,756.25/83,049.75
6. Step 6: Final answer
   x = 377,967.36