Finding the Third Proportional to 64,052 and 102,323.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,052 : 102,323.50 = 102,323.50 : x
2. Step 2: Convert to fraction form
   64,052/102,323.50 = 102,323.50/x
3. Step 3: Cross multiply
   64,052x = 102,323.50 × 102,323.50
4. Step 4: Simplify right side
   64,052x = 10,470,098,652.25
5. Step 5: Solve for x
   x = 10,470,098,652.25/64,052
6. Step 6: Final answer
   x = 163,462.48