Finding the Third Proportional to 99,500 and 204,840

Step by Step Solution

1. Step 1: Write the proportion equation
   99,500 : 204,840 = 204,840 : x
2. Step 2: Convert to fraction form
   99,500/204,840 = 204,840/x
3. Step 3: Cross multiply
   99,500x = 204,840 × 204,840
4. Step 4: Simplify right side
   99,500x = 41,959,425,600
5. Step 5: Solve for x
   x = 41,959,425,600/99,500
6. Step 6: Final answer
   x = 421,702.77