Finding the Third Proportional to 40,787.25 and 83,770.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,787.25 : 83,770.50 = 83,770.50 : x
2. Step 2: Convert to fraction form
   40,787.25/83,770.50 = 83,770.50/x
3. Step 3: Cross multiply
   40,787.25x = 83,770.50 × 83,770.50
4. Step 4: Simplify right side
   40,787.25x = 7,017,496,670.25
5. Step 5: Solve for x
   x = 7,017,496,670.25/40,787.25
6. Step 6: Final answer
   x = 172,051.23