Finding the Third Proportional to 53,364 and 77,290

Step by Step Solution

1. Step 1: Write the proportion equation
   53,364 : 77,290 = 77,290 : x
2. Step 2: Convert to fraction form
   53,364/77,290 = 77,290/x
3. Step 3: Cross multiply
   53,364x = 77,290 × 77,290
4. Step 4: Simplify right side
   53,364x = 5,973,744,100
5. Step 5: Solve for x
   x = 5,973,744,100/53,364
6. Step 6: Final answer
   x = 111,943.33