Finding the Third Proportional to 179,460 and 377,509.50

Step by Step Solution

1. Step 1: Write the proportion equation
   179,460 : 377,509.50 = 377,509.50 : x
2. Step 2: Convert to fraction form
   179,460/377,509.50 = 377,509.50/x
3. Step 3: Cross multiply
   179,460x = 377,509.50 × 377,509.50
4. Step 4: Simplify right side
   179,460x = 142,513,422,590.25
5. Step 5: Solve for x
   x = 142,513,422,590.25/179,460
6. Step 6: Final answer
   x = 794,123.61