Finding the Third Proportional to 123,457.50 and 186,907.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,457.50 : 186,907.50 = 186,907.50 : x
2. Step 2: Convert to fraction form
   123,457.50/186,907.50 = 186,907.50/x
3. Step 3: Cross multiply
   123,457.50x = 186,907.50 × 186,907.50
4. Step 4: Simplify right side
   123,457.50x = 34,934,413,556.25
5. Step 5: Solve for x
   x = 34,934,413,556.25/123,457.50
6. Step 6: Final answer
   x = 282,967.12