Finding the Third Proportional to 100,572 and 212,806.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,572 : 212,806.50 = 212,806.50 : x
2. Step 2: Convert to fraction form
   100,572/212,806.50 = 212,806.50/x
3. Step 3: Cross multiply
   100,572x = 212,806.50 × 212,806.50
4. Step 4: Simplify right side
   100,572x = 45,286,606,442.25
5. Step 5: Solve for x
   x = 45,286,606,442.25/100,572
6. Step 6: Final answer
   x = 450,290.40