Finding the Third Proportional to 102,865 and 156,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,865 : 156,664.50 = 156,664.50 : x
2. Step 2: Convert to fraction form
   102,865/156,664.50 = 156,664.50/x
3. Step 3: Cross multiply
   102,865x = 156,664.50 × 156,664.50
4. Step 4: Simplify right side
   102,865x = 24,543,765,560.25
5. Step 5: Solve for x
   x = 24,543,765,560.25/102,865
6. Step 6: Final answer
   x = 238,601.72