Finding the Third Proportional to 82,091.50 and 178,560.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,091.50 : 178,560.50 = 178,560.50 : x
2. Step 2: Convert to fraction form
   82,091.50/178,560.50 = 178,560.50/x
3. Step 3: Cross multiply
   82,091.50x = 178,560.50 × 178,560.50
4. Step 4: Simplify right side
   82,091.50x = 31,883,852,160.25
5. Step 5: Solve for x
   x = 31,883,852,160.25/82,091.50
6. Step 6: Final answer
   x = 388,394.07