Finding the Third Proportional to 238,437 and 334,192.50

Step by Step Solution

1. Step 1: Write the proportion equation
   238,437 : 334,192.50 = 334,192.50 : x
2. Step 2: Convert to fraction form
   238,437/334,192.50 = 334,192.50/x
3. Step 3: Cross multiply
   238,437x = 334,192.50 × 334,192.50
4. Step 4: Simplify right side
   238,437x = 111,684,627,056.25
5. Step 5: Solve for x
   x = 111,684,627,056.25/238,437
6. Step 6: Final answer
   x = 468,403.09