Finding the Third Proportional to 82,075.50 and 176,411.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,075.50 : 176,411.25 = 176,411.25 : x
2. Step 2: Convert to fraction form
   82,075.50/176,411.25 = 176,411.25/x
3. Step 3: Cross multiply
   82,075.50x = 176,411.25 × 176,411.25
4. Step 4: Simplify right side
   82,075.50x = 31,120,929,126.56
5. Step 5: Solve for x
   x = 31,120,929,126.56/82,075.50
6. Step 6: Final answer
   x = 379,174.41