Finding the Third Proportional to 102,389 and 155,014.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,389 : 155,014.50 = 155,014.50 : x
2. Step 2: Convert to fraction form
   102,389/155,014.50 = 155,014.50/x
3. Step 3: Cross multiply
   102,389x = 155,014.50 × 155,014.50
4. Step 4: Simplify right side
   102,389x = 24,029,495,210.25
5. Step 5: Solve for x
   x = 24,029,495,210.25/102,389
6. Step 6: Final answer
   x = 234,688.25