Finding the Third Proportional to 238,320 and 353,373.75

Step by Step Solution

1. Step 1: Write the proportion equation
   238,320 : 353,373.75 = 353,373.75 : x
2. Step 2: Convert to fraction form
   238,320/353,373.75 = 353,373.75/x
3. Step 3: Cross multiply
   238,320x = 353,373.75 × 353,373.75
4. Step 4: Simplify right side
   238,320x = 124,873,007,189.06
5. Step 5: Solve for x
   x = 124,873,007,189.06/238,320
6. Step 6: Final answer
   x = 523,972.00