Finding the Third Proportional to 53,185 and 78,726

Step by Step Solution

1. Step 1: Write the proportion equation
   53,185 : 78,726 = 78,726 : x
2. Step 2: Convert to fraction form
   53,185/78,726 = 78,726/x
3. Step 3: Cross multiply
   53,185x = 78,726 × 78,726
4. Step 4: Simplify right side
   53,185x = 6,197,783,076
5. Step 5: Solve for x
   x = 6,197,783,076/53,185
6. Step 6: Final answer
   x = 116,532.54