Finding the Third Proportional to 82,755 and 177,173.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,755 : 177,173.50 = 177,173.50 : x
2. Step 2: Convert to fraction form
   82,755/177,173.50 = 177,173.50/x
3. Step 3: Cross multiply
   82,755x = 177,173.50 × 177,173.50
4. Step 4: Simplify right side
   82,755x = 31,390,449,102.25
5. Step 5: Solve for x
   x = 31,390,449,102.25/82,755
6. Step 6: Final answer
   x = 379,317.86