Finding the Third Proportional to 238,287 and 370,498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   238,287 : 370,498.50 = 370,498.50 : x
2. Step 2: Convert to fraction form
   238,287/370,498.50 = 370,498.50/x
3. Step 3: Cross multiply
   238,287x = 370,498.50 × 370,498.50
4. Step 4: Simplify right side
   238,287x = 137,269,138,502.25
5. Step 5: Solve for x
   x = 137,269,138,502.25/238,287
6. Step 6: Final answer
   x = 576,066.42