Finding the Third Proportional to 175,854 and 272,467.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,854 : 272,467.50 = 272,467.50 : x
2. Step 2: Convert to fraction form
   175,854/272,467.50 = 272,467.50/x
3. Step 3: Cross multiply
   175,854x = 272,467.50 × 272,467.50
4. Step 4: Simplify right side
   175,854x = 74,238,538,556.25
5. Step 5: Solve for x
   x = 74,238,538,556.25/175,854
6. Step 6: Final answer
   x = 422,160.08