Finding the Third Proportional to 81,859.50 and 177,732

Step by Step Solution

1. Step 1: Write the proportion equation
   81,859.50 : 177,732 = 177,732 : x
2. Step 2: Convert to fraction form
   81,859.50/177,732 = 177,732/x
3. Step 3: Cross multiply
   81,859.50x = 177,732 × 177,732
4. Step 4: Simplify right side
   81,859.50x = 31,588,663,824
5. Step 5: Solve for x
   x = 31,588,663,824/81,859.50
6. Step 6: Final answer
   x = 385,888.80