Finding the Third Proportional to 99,858 and 217,348.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,858 : 217,348.50 = 217,348.50 : x
2. Step 2: Convert to fraction form
   99,858/217,348.50 = 217,348.50/x
3. Step 3: Cross multiply
   99,858x = 217,348.50 × 217,348.50
4. Step 4: Simplify right side
   99,858x = 47,240,370,452.25
5. Step 5: Solve for x
   x = 47,240,370,452.25/99,858
6. Step 6: Final answer
   x = 473,075.47