Finding the Third Proportional to 99,026 and 213,835

Step by Step Solution

1. Step 1: Write the proportion equation
   99,026 : 213,835 = 213,835 : x
2. Step 2: Convert to fraction form
   99,026/213,835 = 213,835/x
3. Step 3: Cross multiply
   99,026x = 213,835 × 213,835
4. Step 4: Simplify right side
   99,026x = 45,725,407,225
5. Step 5: Solve for x
   x = 45,725,407,225/99,026
6. Step 6: Final answer
   x = 461,751.53