Finding the Third Proportional to 83,520 and 188,064

Step by Step Solution

1. Step 1: Write the proportion equation
   83,520 : 188,064 = 188,064 : x
2. Step 2: Convert to fraction form
   83,520/188,064 = 188,064/x
3. Step 3: Cross multiply
   83,520x = 188,064 × 188,064
4. Step 4: Simplify right side
   83,520x = 35,368,068,096
5. Step 5: Solve for x
   x = 35,368,068,096/83,520
6. Step 6: Final answer
   x = 423,468.25