Finding the Third Proportional to 102,858 and 224,938.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,858 : 224,938.50 = 224,938.50 : x
2. Step 2: Convert to fraction form
   102,858/224,938.50 = 224,938.50/x
3. Step 3: Cross multiply
   102,858x = 224,938.50 × 224,938.50
4. Step 4: Simplify right side
   102,858x = 50,597,328,782.25
5. Step 5: Solve for x
   x = 50,597,328,782.25/102,858
6. Step 6: Final answer
   x = 491,914.37