Finding the Third Proportional to 157,196.50 and 222,217

Step by Step Solution

1. Step 1: Write the proportion equation
   157,196.50 : 222,217 = 222,217 : x
2. Step 2: Convert to fraction form
   157,196.50/222,217 = 222,217/x
3. Step 3: Cross multiply
   157,196.50x = 222,217 × 222,217
4. Step 4: Simplify right side
   157,196.50x = 49,380,395,089
5. Step 5: Solve for x
   x = 49,380,395,089/157,196.50
6. Step 6: Final answer
   x = 314,131.64