Finding the Third Proportional to 157,082 and 222,090

Step by Step Solution

1. Step 1: Write the proportion equation
   157,082 : 222,090 = 222,090 : x
2. Step 2: Convert to fraction form
   157,082/222,090 = 222,090/x
3. Step 3: Cross multiply
   157,082x = 222,090 × 222,090
4. Step 4: Simplify right side
   157,082x = 49,323,968,100
5. Step 5: Solve for x
   x = 49,323,968,100/157,082
6. Step 6: Final answer
   x = 314,001.40