Finding the Third Proportional to 78,196 and 170,732

Step by Step Solution

1. Step 1: Write the proportion equation
   78,196 : 170,732 = 170,732 : x
2. Step 2: Convert to fraction form
   78,196/170,732 = 170,732/x
3. Step 3: Cross multiply
   78,196x = 170,732 × 170,732
4. Step 4: Simplify right side
   78,196x = 29,149,415,824
5. Step 5: Solve for x
   x = 29,149,415,824/78,196
6. Step 6: Final answer
   x = 372,773.75