Finding the Third Proportional to 177,393 and 265,393.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,393 : 265,393.50 = 265,393.50 : x
2. Step 2: Convert to fraction form
   177,393/265,393.50 = 265,393.50/x
3. Step 3: Cross multiply
   177,393x = 265,393.50 × 265,393.50
4. Step 4: Simplify right side
   177,393x = 70,433,709,842.25
5. Step 5: Solve for x
   x = 70,433,709,842.25/177,393
6. Step 6: Final answer
   x = 397,048.98