Finding the Third Proportional to 53,156.25 and 82,246.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,156.25 : 82,246.50 = 82,246.50 : x
2. Step 2: Convert to fraction form
   53,156.25/82,246.50 = 82,246.50/x
3. Step 3: Cross multiply
   53,156.25x = 82,246.50 × 82,246.50
4. Step 4: Simplify right side
   53,156.25x = 6,764,486,762.25
5. Step 5: Solve for x
   x = 6,764,486,762.25/53,156.25
6. Step 6: Final answer
   x = 127,256.66