Finding the Third Proportional to 99,510 and 208,242

Step by Step Solution

1. Step 1: Write the proportion equation
   99,510 : 208,242 = 208,242 : x
2. Step 2: Convert to fraction form
   99,510/208,242 = 208,242/x
3. Step 3: Cross multiply
   99,510x = 208,242 × 208,242
4. Step 4: Simplify right side
   99,510x = 43,364,730,564
5. Step 5: Solve for x
   x = 43,364,730,564/99,510
6. Step 6: Final answer
   x = 435,782.64