Finding the Third Proportional to 238,713 and 334,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   238,713 : 334,633.50 = 334,633.50 : x
2. Step 2: Convert to fraction form
   238,713/334,633.50 = 334,633.50/x
3. Step 3: Cross multiply
   238,713x = 334,633.50 × 334,633.50
4. Step 4: Simplify right side
   238,713x = 111,979,579,322.25
5. Step 5: Solve for x
   x = 111,979,579,322.25/238,713
6. Step 6: Final answer
   x = 469,097.11