Finding the Third Proportional to 164,456 and 359,347.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,456 : 359,347.50 = 359,347.50 : x
2. Step 2: Convert to fraction form
   164,456/359,347.50 = 359,347.50/x
3. Step 3: Cross multiply
   164,456x = 359,347.50 × 359,347.50
4. Step 4: Simplify right side
   164,456x = 129,130,625,756.25
5. Step 5: Solve for x
   x = 129,130,625,756.25/164,456
6. Step 6: Final answer
   x = 785,198.63