Finding the Third Proportional to 78,360 and 164,784

Step by Step Solution

1. Step 1: Write the proportion equation
   78,360 : 164,784 = 164,784 : x
2. Step 2: Convert to fraction form
   78,360/164,784 = 164,784/x
3. Step 3: Cross multiply
   78,360x = 164,784 × 164,784
4. Step 4: Simplify right side
   78,360x = 27,153,766,656
5. Step 5: Solve for x
   x = 27,153,766,656/78,360
6. Step 6: Final answer
   x = 346,525.86