Finding the Third Proportional to 82,100.75 and 177,026.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,100.75 : 177,026.50 = 177,026.50 : x
2. Step 2: Convert to fraction form
   82,100.75/177,026.50 = 177,026.50/x
3. Step 3: Cross multiply
   82,100.75x = 177,026.50 × 177,026.50
4. Step 4: Simplify right side
   82,100.75x = 31,338,381,702.25
5. Step 5: Solve for x
   x = 31,338,381,702.25/82,100.75
6. Step 6: Final answer
   x = 381,706.40