Finding the Third Proportional to 64,810 and 100,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,810 : 100,586.50 = 100,586.50 : x
2. Step 2: Convert to fraction form
   64,810/100,586.50 = 100,586.50/x
3. Step 3: Cross multiply
   64,810x = 100,586.50 × 100,586.50
4. Step 4: Simplify right side
   64,810x = 10,117,643,982.25
5. Step 5: Solve for x
   x = 10,117,643,982.25/64,810
6. Step 6: Final answer
   x = 156,112.39