Finding the Third Proportional to 99,876.50 and 214,576

Step by Step Solution

1. Step 1: Write the proportion equation
   99,876.50 : 214,576 = 214,576 : x
2. Step 2: Convert to fraction form
   99,876.50/214,576 = 214,576/x
3. Step 3: Cross multiply
   99,876.50x = 214,576 × 214,576
4. Step 4: Simplify right side
   99,876.50x = 46,042,859,776
5. Step 5: Solve for x
   x = 46,042,859,776/99,876.50
6. Step 6: Final answer
   x = 460,997.93