Finding the Third Proportional to 42,423.75 and 83,777.25

Step by Step Solution

1. Step 1: Write the proportion equation
   42,423.75 : 83,777.25 = 83,777.25 : x
2. Step 2: Convert to fraction form
   42,423.75/83,777.25 = 83,777.25/x
3. Step 3: Cross multiply
   42,423.75x = 83,777.25 × 83,777.25
4. Step 4: Simplify right side
   42,423.75x = 7,018,627,617.56
5. Step 5: Solve for x
   x = 7,018,627,617.56/42,423.75
6. Step 6: Final answer
   x = 165,441.00