Finding the Third Proportional to 237,375 and 317,094.75

Step by Step Solution

1. Step 1: Write the proportion equation
   237,375 : 317,094.75 = 317,094.75 : x
2. Step 2: Convert to fraction form
   237,375/317,094.75 = 317,094.75/x
3. Step 3: Cross multiply
   237,375x = 317,094.75 × 317,094.75
4. Step 4: Simplify right side
   237,375x = 100,549,080,477.56
5. Step 5: Solve for x
   x = 100,549,080,477.56/237,375
6. Step 6: Final answer
   x = 423,587.49