Finding the Third Proportional to 46,461 and 102,300

Step by Step Solution

1. Step 1: Write the proportion equation
   46,461 : 102,300 = 102,300 : x
2. Step 2: Convert to fraction form
   46,461/102,300 = 102,300/x
3. Step 3: Cross multiply
   46,461x = 102,300 × 102,300
4. Step 4: Simplify right side
   46,461x = 10,465,290,000
5. Step 5: Solve for x
   x = 10,465,290,000/46,461
6. Step 6: Final answer
   x = 225,248.92