Finding the Third Proportional to 164,762.50 and 359,596.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,762.50 : 359,596.50 = 359,596.50 : x
2. Step 2: Convert to fraction form
   164,762.50/359,596.50 = 359,596.50/x
3. Step 3: Cross multiply
   164,762.50x = 359,596.50 × 359,596.50
4. Step 4: Simplify right side
   164,762.50x = 129,309,642,812.25
5. Step 5: Solve for x
   x = 129,309,642,812.25/164,762.50
6. Step 6: Final answer
   x = 784,824.48