Finding the Third Proportional to 164,616 and 360,688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,616 : 360,688.50 = 360,688.50 : x
2. Step 2: Convert to fraction form
   164,616/360,688.50 = 360,688.50/x
3. Step 3: Cross multiply
   164,616x = 360,688.50 × 360,688.50
4. Step 4: Simplify right side
   164,616x = 130,096,194,032.25
5. Step 5: Solve for x
   x = 130,096,194,032.25/164,616
6. Step 6: Final answer
   x = 790,301.03