Finding the Third Proportional to 46,844 and 83,290

Step by Step Solution

1. Step 1: Write the proportion equation
   46,844 : 83,290 = 83,290 : x
2. Step 2: Convert to fraction form
   46,844/83,290 = 83,290/x
3. Step 3: Cross multiply
   46,844x = 83,290 × 83,290
4. Step 4: Simplify right side
   46,844x = 6,937,224,100
5. Step 5: Solve for x
   x = 6,937,224,100/46,844
6. Step 6: Final answer
   x = 148,092.05