Finding the Third Proportional to 233,137.50 and 342,054

Step by Step Solution

1. Step 1: Write the proportion equation
   233,137.50 : 342,054 = 342,054 : x
2. Step 2: Convert to fraction form
   233,137.50/342,054 = 342,054/x
3. Step 3: Cross multiply
   233,137.50x = 342,054 × 342,054
4. Step 4: Simplify right side
   233,137.50x = 117,000,938,916
5. Step 5: Solve for x
   x = 117,000,938,916/233,137.50
6. Step 6: Final answer
   x = 501,853.79