Finding the Third Proportional to 119,972 and 262,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   119,972 : 262,543.50 = 262,543.50 : x
2. Step 2: Convert to fraction form
   119,972/262,543.50 = 262,543.50/x
3. Step 3: Cross multiply
   119,972x = 262,543.50 × 262,543.50
4. Step 4: Simplify right side
   119,972x = 68,929,089,392.25
5. Step 5: Solve for x
   x = 68,929,089,392.25/119,972
6. Step 6: Final answer
   x = 574,543.14