Finding the Third Proportional to 41,970 and 92,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,970 : 92,209.50 = 92,209.50 : x
2. Step 2: Convert to fraction form
   41,970/92,209.50 = 92,209.50/x
3. Step 3: Cross multiply
   41,970x = 92,209.50 × 92,209.50
4. Step 4: Simplify right side
   41,970x = 8,502,591,890.25
5. Step 5: Solve for x
   x = 8,502,591,890.25/41,970
6. Step 6: Final answer
   x = 202,587.37