Finding the Third Proportional to 172,467 and 257,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   172,467 : 257,641.50 = 257,641.50 : x
2. Step 2: Convert to fraction form
   172,467/257,641.50 = 257,641.50/x
3. Step 3: Cross multiply
   172,467x = 257,641.50 × 257,641.50
4. Step 4: Simplify right side
   172,467x = 66,379,142,522.25
5. Step 5: Solve for x
   x = 66,379,142,522.25/172,467
6. Step 6: Final answer
   x = 384,880.25