Finding the Third Proportional to 53,662 and 78,847

Step by Step Solution

1. Step 1: Write the proportion equation
   53,662 : 78,847 = 78,847 : x
2. Step 2: Convert to fraction form
   53,662/78,847 = 78,847/x
3. Step 3: Cross multiply
   53,662x = 78,847 × 78,847
4. Step 4: Simplify right side
   53,662x = 6,216,849,409
5. Step 5: Solve for x
   x = 6,216,849,409/53,662
6. Step 6: Final answer
   x = 115,851.99