Finding the Third Proportional to 82,961.50 and 127,590

Step by Step Solution

1. Step 1: Write the proportion equation
   82,961.50 : 127,590 = 127,590 : x
2. Step 2: Convert to fraction form
   82,961.50/127,590 = 127,590/x
3. Step 3: Cross multiply
   82,961.50x = 127,590 × 127,590
4. Step 4: Simplify right side
   82,961.50x = 16,279,208,100
5. Step 5: Solve for x
   x = 16,279,208,100/82,961.50
6. Step 6: Final answer
   x = 196,226.06