Finding the Third Proportional to 95,261 and 213,076

Step by Step Solution

1. Step 1: Write the proportion equation
   95,261 : 213,076 = 213,076 : x
2. Step 2: Convert to fraction form
   95,261/213,076 = 213,076/x
3. Step 3: Cross multiply
   95,261x = 213,076 × 213,076
4. Step 4: Simplify right side
   95,261x = 45,401,381,776
5. Step 5: Solve for x
   x = 45,401,381,776/95,261
6. Step 6: Final answer
   x = 476,599.89