Finding the Third Proportional to 53,486.25 and 82,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,486.25 : 82,777.50 = 82,777.50 : x
2. Step 2: Convert to fraction form
   53,486.25/82,777.50 = 82,777.50/x
3. Step 3: Cross multiply
   53,486.25x = 82,777.50 × 82,777.50
4. Step 4: Simplify right side
   53,486.25x = 6,852,114,506.25
5. Step 5: Solve for x
   x = 6,852,114,506.25/53,486.25
6. Step 6: Final answer
   x = 128,109.83