Finding the Third Proportional to 88,506 and 194,791.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,506 : 194,791.50 = 194,791.50 : x
2. Step 2: Convert to fraction form
   88,506/194,791.50 = 194,791.50/x
3. Step 3: Cross multiply
   88,506x = 194,791.50 × 194,791.50
4. Step 4: Simplify right side
   88,506x = 37,943,728,472.25
5. Step 5: Solve for x
   x = 37,943,728,472.25/88,506
6. Step 6: Final answer
   x = 428,713.63