Finding the Third Proportional to 53,106 and 78,443

Step by Step Solution

1. Step 1: Write the proportion equation
   53,106 : 78,443 = 78,443 : x
2. Step 2: Convert to fraction form
   53,106/78,443 = 78,443/x
3. Step 3: Cross multiply
   53,106x = 78,443 × 78,443
4. Step 4: Simplify right side
   53,106x = 6,153,304,249
5. Step 5: Solve for x
   x = 6,153,304,249/53,106
6. Step 6: Final answer
   x = 115,868.34