Finding the Third Proportional to 55,294 and 83,340

Step by Step Solution

1. Step 1: Write the proportion equation
   55,294 : 83,340 = 83,340 : x
2. Step 2: Convert to fraction form
   55,294/83,340 = 83,340/x
3. Step 3: Cross multiply
   55,294x = 83,340 × 83,340
4. Step 4: Simplify right side
   55,294x = 6,945,555,600
5. Step 5: Solve for x
   x = 6,945,555,600/55,294
6. Step 6: Final answer
   x = 125,611.38