Finding the Third Proportional to 238,152 and 513,694.50

Step by Step Solution

1. Step 1: Write the proportion equation
   238,152 : 513,694.50 = 513,694.50 : x
2. Step 2: Convert to fraction form
   238,152/513,694.50 = 513,694.50/x
3. Step 3: Cross multiply
   238,152x = 513,694.50 × 513,694.50
4. Step 4: Simplify right side
   238,152x = 263,882,039,330.25
5. Step 5: Solve for x
   x = 263,882,039,330.25/238,152
6. Step 6: Final answer
   x = 1,108,040.41