Finding the Third Proportional to 114,971 and 154,501

Step by Step Solution

1. Step 1: Write the proportion equation
   114,971 : 154,501 = 154,501 : x
2. Step 2: Convert to fraction form
   114,971/154,501 = 154,501/x
3. Step 3: Cross multiply
   114,971x = 154,501 × 154,501
4. Step 4: Simplify right side
   114,971x = 23,870,559,001
5. Step 5: Solve for x
   x = 23,870,559,001/114,971
6. Step 6: Final answer
   x = 207,622.44