Finding the Third Proportional to 238,410 and 334,152

Step by Step Solution

1. Step 1: Write the proportion equation
   238,410 : 334,152 = 334,152 : x
2. Step 2: Convert to fraction form
   238,410/334,152 = 334,152/x
3. Step 3: Cross multiply
   238,410x = 334,152 × 334,152
4. Step 4: Simplify right side
   238,410x = 111,657,559,104
5. Step 5: Solve for x
   x = 111,657,559,104/238,410
6. Step 6: Final answer
   x = 468,342.60