Finding the Third Proportional to 102,726 and 224,139

Step by Step Solution

1. Step 1: Write the proportion equation
   102,726 : 224,139 = 224,139 : x
2. Step 2: Convert to fraction form
   102,726/224,139 = 224,139/x
3. Step 3: Cross multiply
   102,726x = 224,139 × 224,139
4. Step 4: Simplify right side
   102,726x = 50,238,291,321
5. Step 5: Solve for x
   x = 50,238,291,321/102,726
6. Step 6: Final answer
   x = 489,051.37