Finding the Third Proportional to 39,414 and 91,150.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,414 : 91,150.50 = 91,150.50 : x
2. Step 2: Convert to fraction form
   39,414/91,150.50 = 91,150.50/x
3. Step 3: Cross multiply
   39,414x = 91,150.50 × 91,150.50
4. Step 4: Simplify right side
   39,414x = 8,308,413,650.25
5. Step 5: Solve for x
   x = 8,308,413,650.25/39,414
6. Step 6: Final answer
   x = 210,798.54