Finding the Third Proportional to 123,316 and 157,075

Step by Step Solution

1. Step 1: Write the proportion equation
   123,316 : 157,075 = 157,075 : x
2. Step 2: Convert to fraction form
   123,316/157,075 = 157,075/x
3. Step 3: Cross multiply
   123,316x = 157,075 × 157,075
4. Step 4: Simplify right side
   123,316x = 24,672,555,625
5. Step 5: Solve for x
   x = 24,672,555,625/123,316
6. Step 6: Final answer
   x = 200,075.87