Finding the Third Proportional to 238,176 and 369,195.75

Step by Step Solution

1. Step 1: Write the proportion equation
   238,176 : 369,195.75 = 369,195.75 : x
2. Step 2: Convert to fraction form
   238,176/369,195.75 = 369,195.75/x
3. Step 3: Cross multiply
   238,176x = 369,195.75 × 369,195.75
4. Step 4: Simplify right side
   238,176x = 136,305,501,818.06
5. Step 5: Solve for x
   x = 136,305,501,818.06/238,176
6. Step 6: Final answer
   x = 572,288.99