Finding the Third Proportional to 39,746 and 84,230.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,746 : 84,230.50 = 84,230.50 : x
2. Step 2: Convert to fraction form
   39,746/84,230.50 = 84,230.50/x
3. Step 3: Cross multiply
   39,746x = 84,230.50 × 84,230.50
4. Step 4: Simplify right side
   39,746x = 7,094,777,130.25
5. Step 5: Solve for x
   x = 7,094,777,130.25/39,746
6. Step 6: Final answer
   x = 178,502.92