Finding the Third Proportional to 53,606.25 and 78,801.75

Step by Step Solution

1. Step 1: Write the proportion equation
   53,606.25 : 78,801.75 = 78,801.75 : x
2. Step 2: Convert to fraction form
   53,606.25/78,801.75 = 78,801.75/x
3. Step 3: Cross multiply
   53,606.25x = 78,801.75 × 78,801.75
4. Step 4: Simplify right side
   53,606.25x = 6,209,715,803.06
5. Step 5: Solve for x
   x = 6,209,715,803.06/53,606.25
6. Step 6: Final answer
   x = 115,839.40