Finding the Third Proportional to 237,582 and 349,746.75

Step by Step Solution

1. Step 1: Write the proportion equation
   237,582 : 349,746.75 = 349,746.75 : x
2. Step 2: Convert to fraction form
   237,582/349,746.75 = 349,746.75/x
3. Step 3: Cross multiply
   237,582x = 349,746.75 × 349,746.75
4. Step 4: Simplify right side
   237,582x = 122,322,789,135.56
5. Step 5: Solve for x
   x = 122,322,789,135.56/237,582
6. Step 6: Final answer
   x = 514,865.56