Finding the Third Proportional to 92,720 and 200,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,720 : 200,222.50 = 200,222.50 : x
2. Step 2: Convert to fraction form
   92,720/200,222.50 = 200,222.50/x
3. Step 3: Cross multiply
   92,720x = 200,222.50 × 200,222.50
4. Step 4: Simplify right side
   92,720x = 40,089,049,506.25
5. Step 5: Solve for x
   x = 40,089,049,506.25/92,720
6. Step 6: Final answer
   x = 432,366.80