Finding the Third Proportional to 53,192 and 78,736

Step by Step Solution

1. Step 1: Write the proportion equation
   53,192 : 78,736 = 78,736 : x
2. Step 2: Convert to fraction form
   53,192/78,736 = 78,736/x
3. Step 3: Cross multiply
   53,192x = 78,736 × 78,736
4. Step 4: Simplify right side
   53,192x = 6,199,357,696
5. Step 5: Solve for x
   x = 6,199,357,696/53,192
6. Step 6: Final answer
   x = 116,546.81