Finding the Third Proportional to 238,428 and 334,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   238,428 : 334,205.50 = 334,205.50 : x
2. Step 2: Convert to fraction form
   238,428/334,205.50 = 334,205.50/x
3. Step 3: Cross multiply
   238,428x = 334,205.50 × 334,205.50
4. Step 4: Simplify right side
   238,428x = 111,693,316,230.25
5. Step 5: Solve for x
   x = 111,693,316,230.25/238,428
6. Step 6: Final answer
   x = 468,457.21