Finding the Third Proportional to 47,658.38 and 101,776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,658.38 : 101,776.50 = 101,776.50 : x
2. Step 2: Convert to fraction form
   47,658.38/101,776.50 = 101,776.50/x
3. Step 3: Cross multiply
   47,658.38x = 101,776.50 × 101,776.50
4. Step 4: Simplify right side
   47,658.38x = 10,358,455,952.25
5. Step 5: Solve for x
   x = 10,358,455,952.25/47,658.38
6. Step 6: Final answer
   x = 217,348.07