Finding the Third Proportional to 123,314 and 157,072

Step by Step Solution

1. Step 1: Write the proportion equation
   123,314 : 157,072 = 157,072 : x
2. Step 2: Convert to fraction form
   123,314/157,072 = 157,072/x
3. Step 3: Cross multiply
   123,314x = 157,072 × 157,072
4. Step 4: Simplify right side
   123,314x = 24,671,613,184
5. Step 5: Solve for x
   x = 24,671,613,184/123,314
6. Step 6: Final answer
   x = 200,071.47