Finding the Third Proportional to 237,609 and 314,075.50

Step by Step Solution

1. Step 1: Write the proportion equation
   237,609 : 314,075.50 = 314,075.50 : x
2. Step 2: Convert to fraction form
   237,609/314,075.50 = 314,075.50/x
3. Step 3: Cross multiply
   237,609x = 314,075.50 × 314,075.50
4. Step 4: Simplify right side
   237,609x = 98,643,419,700.25
5. Step 5: Solve for x
   x = 98,643,419,700.25/237,609
6. Step 6: Final answer
   x = 415,150.18